General fact: 6936 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Mathematical fact: 6936 is the number of ways to legally add 2 sets of parentheses to a product of 16 variables.
Trivia: 6936 is a boring number.
Historical date: December 27th is the day in 1997 that Protestant paramilitary leader Billy Wright is assassinated in Northern Ireland, United Kingdom.