76480132165264 has 45 divisors (see below), whose sum is σ = 148416696317449. Its totient is φ = 38179146378560.

The previous prime is 76480132165249. The next prime is 76480132165313. The reversal of 76480132165264 is 46256123108467.

The square root of 76480132165264 is 8745292.

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

It can be written as a sum of positive squares in only one way, i.e., 20882231205264 + 55597900960000 = 4569708^2 + 7456400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28719537597 + ... + 28719540259.

Almost surely, 2^{76480132165264} is an apocalyptic number.

76480132165264 is the 8745292-nd square number.

It is an amenable number.

76480132165264 is a deficient number, since it is larger than the sum of its proper divisors (71936564152185).

76480132165264 is an frugal number, since it uses more digits than its factorization.

76480132165264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6976 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 76480132165264 in words is "seventy-six trillion, four hundred eighty billion, one hundred thirty-two million, one hundred sixty-five thousand, two hundred sixty-four".