76973760864 has 1728 divisors, whose sum is σ = 327931269120. Its totient is φ = 17244057600.

The previous prime is 76973760863. The next prime is 76973760881. The reversal of 76973760864 is 46806737967.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76973760863) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2483024529 + ... + 2483024559.

It is an arithmetic number, because the mean of its divisors is an integer number (189775040).

Almost surely, 2^76973760864 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 76973760864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163965634560).

76973760864 is an abundant number, since it is smaller than the sum of its proper divisors (250957508256).

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

76973760864 is a wasteful number, since it uses less digits than its factorization.

76973760864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 76973760864 in words is "seventy-six billion, nine hundred seventy-three million, seven hundred sixty thousand, eight hundred sixty-four".