765566505856416 has 576 divisors, whose sum is σ = 2339743181037696. Its totient is φ = 217196627558400.

The previous prime is 765566505856381. The next prime is 765566505856447. The reversal of 765566505856416 is 614658505665567.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4326783886 + ... + 4326960818.

It is an arithmetic number, because the mean of its divisors is an integer number (4062054133746).

Almost surely, 2^{765566505856416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765566505856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169871590518848).

765566505856416 is an abundant number, since it is smaller than the sum of its proper divisors (1574176675181280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

765566505856416 is a wasteful number, since it uses less digits than its factorization.

765566505856416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177145 (or 177100 counting only the distinct ones).

The product of its (nonzero) digits is 5443200000, while the sum is 75.

The spelling of 765566505856416 in words is "seven hundred sixty-five trillion, five hundred sixty-six billion, five hundred five million, eight hundred fifty-six thousand, four hundred sixteen".