Fatto matematico: 4662 is the number of ways to place 2 non-attacking knights on a 10×10 chessboard.
Trivia: 4662 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Data storica: October 5th is the day in 869 that the Fourth Council of Constantinople is convened to decide about what to do about patriarch Photius of Constantinople.