General fact: 6768 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Mathematical fact: 6768 is an unremarkable number.
Trivia: 6768 is a boring number.
Historical date: July 12th is the day in 1493 that Hartmann Schedel's Nuremberg Chronicle, one of the best-documented early printed books, is published.