76705331552964 has 81 divisors (see below), whose sum is σ = 194335104879279. Its totient is φ = 25510412296080.

The previous prime is 76705331552893. The next prime is 76705331553047. The reversal of 76705331552964 is 46925513350767.

It is a happy number.

The square root of 76705331552964 is 8758158.

It is a perfect power (a square), and thus also a powerful number.

76705331552964 is a `hidden beast` number, since 7 + 6 + 7 + 0 + 5 + 33 + 15 + 529 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27483098409 + ... + 27483101199.

Almost surely, 2^{76705331552964} is an apocalyptic number.

76705331552964 is the 8758158-th square number.

It is an amenable number.

76705331552964 is an abundant number, since it is smaller than the sum of its proper divisors (117629773326315).

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

76705331552964 is an frugal number, since it uses more digits than its factorization.

76705331552964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 142884000, while the sum is 63.

The spelling of 76705331552964 in words is "seventy-six trillion, seven hundred five billion, three hundred thirty-one million, five hundred fifty-two thousand, nine hundred sixty-four".