Fatto matematico: 6706 is the number of Hamiltonian paths in a 8×5 rectangle graph.
Trivia: 6706 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Data storica: May 11th is the day in 1967 that Andreas Papandreou, Greek economist and socialist politician, is imprisoned in Athens by the Greek military junta.