According to This Day In Music:
Brian Epstein invited The Beatles into his office to discuss the possibility of becoming their manager. John Lennon, George Harrison and Pete Best arrived late for the 4pm meeting, (they had been drinking at the Grapes pub in Matthew Street), but Paul McCartney was not with them, because, as Harrison explained, he had just got up and was "taking a bath".McCartney, bathed and dressed, eventually showed up and The Beatles decided to let Epstein become their manager. Over the next few years he helped take them to the "toppermost of the poppermost" as the most successful boy band of all time.
As the WikiWackyWoo tells us:
Epstein first discovered the Beatles in November 1961 during a lunchtime Cavern Club performance. He was instantly impressed and saw great potential in the group. Epstein was rejected by nearly all major recording companies in London, then he secured a meeting with George Martin, head of EMI's Parlophone label. In May 1962, Martin agreed to sign the Beatles, partly because of Epstein's conviction that the group would become internationally famous.
The Beatles' early success has been attributed to Epstein's management style, and the band trusted him without hesitation. In addition to handling the Beatles' business affairs, Epstein often stepped in to mediate personal disputes within the group. The Beatles' unquestioning loyalty to Epstein later proved detrimental, as the band rarely read contracts before signing them. Shortly after the song "Please Please Me" rose to the top of the charts in 1963, Epstein advised the creation of Northern Songs, a publishing company that would control the copyrights of all Lennon–McCartney compositions recorded between 1963 and 1973. Music publisher Dick James and his partner Charles Silver owned 51-percent of the company, Lennon and McCartney each owned 20%, and Epstein owned 9%. By 1969, Lennon and McCartney had lost control of all publishing rights to ATV Music Publishing. Still, Epstein's death in 1967 marked the beginning of the group's dissolution and had a profound effect on each individual Beatle. In 1997, Paul McCartney said, "If anyone was the Fifth Beatle, it was Brian."
That's not all that happened to The Beatles on this day. Today in Beatles History gives us the full lowdown:
1938: Marriage of Alfred Lennon and Julia Stanley. After the ceremony, they go to the movies and then to their respective houses.
1963: Concert at the Guild Hall, Portsmouth ('The Beatles Autumn Tour') (postponed 12 November).
1964: Brian flies from Los Angeles to London.
1964: Appearance on BBC-TV's 'Top Of the Pops'.
1965: Start of UK tour, with the Moody Blues and The Kobbas & Beryl Mardsen. Concert at the Odeon Cinema, Glasgow.
1965: UK single release: 'We Can Work It Out'/'Day Tripper'. First single officially released as double A side.
1965: UK LP release: 'Rubber Soul'.
1966: 'Yesterday'... And Today', 24th week in the Top 200 (Billboard).
1971: UK LP release: 'Fly'.
1977: Start of 'London Town' LP sessions at AIR London Studios.
1980: John and Yoko's apartment, Dakota Building. Photographic session of John and Yoko, with Annie Leibovitz.
1988: 10th episode of a BBC series, essentially based on 'The Beatles At The Beeb' collection.
1993: Paul's concert at the Pacaembu Stadium, Sao Paulo, Brazil ('The New World Tour').