76830574464 has 512 divisors, whose sum is σ = 266076057600. Its totient is φ = 21373507584.

The previous prime is 76830574453. The next prime is 76830574487. The reversal of 76830574464 is 46447503867.

76830574464 is a `hidden beast` number, since 7 + 6 + 8 + 3 + 0 + 574 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 76830574464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173432227 + ... + 173432669.

It is an arithmetic number, because the mean of its divisors is an integer number (519679800).

Almost surely, 2^76830574464 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 76830574464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133038028800).

76830574464 is an abundant number, since it is smaller than the sum of its proper divisors (189245483136).

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

76830574464 is a wasteful number, since it uses less digits than its factorization.

76830574464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 76830574464 in words is "seventy-six billion, eight hundred thirty million, five hundred seventy-four thousand, four hundred sixty-four".