76920689664 has 1056 divisors, whose sum is σ = 293751377920. Its totient is φ = 19564167168.

The previous prime is 76920689623. The next prime is 76920689753. The reversal of 76920689664 is 46698602967.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 973679577 + ... + 973679655.

Almost surely, 2^76920689664 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 76920689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146875688960).

76920689664 is an abundant number, since it is smaller than the sum of its proper divisors (216830688256).

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

76920689664 is a wasteful number, since it uses less digits than its factorization.

76920689664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 76920689664 in words is "seventy-six billion, nine hundred twenty million, six hundred eighty-nine thousand, six hundred sixty-four".