According to The Guardian, 'Hey Jude' was the most downloaded song by the group, following the first week of sales.
The report claims that the second-highest seller is 'Let It Be', but that it is a long way off the sales achieved by Paul McCartney's classic anthem.
The release of the Beatles' albums on Apple's iTunes store has been under dispute for a number of years, with an agreement finally enabling listeners to legally download the band's music.
Tonight's X Factor show follows a Beatles theme in celebration of the release.