76565700684 has 336 divisors, whose sum is σ = 232247635200. Its totient is φ = 21847605120.

The previous prime is 76565700677. The next prime is 76565700769. The reversal of 76565700684 is 48600756567.

76565700684 is a `hidden beast` number, since 7 + 6 + 5 + 6 + 570 + 0 + 68 + 4 = 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 76565700684.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 49428342 + ... + 49429890.

It is an arithmetic number, because the mean of its divisors is an integer number (691213200).

Almost surely, 2^76565700684 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 76565700684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116123817600).

76565700684 is an abundant number, since it is smaller than the sum of its proper divisors (155681934516).

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

76565700684 is a wasteful number, since it uses less digits than its factorization.

76565700684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 76565700684 in words is "seventy-six billion, five hundred sixty-five million, seven hundred thousand, six hundred eighty-four".