76961879475264 has 567 divisors, whose sum is σ = 260296399391301. Its totient is φ = 21677919943680.

The previous prime is 76961879475253. The next prime is 76961879475287. The reversal of 76961879475264 is 46257497816967.

The square root of 76961879475264 is 8772792.

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

76961879475264 is a `hidden beast` number, since 7 + 6 + 9 + 6 + 1 + 87 + 9 + 4 + 7 + 526 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61108740915264 + 15853138560000 = 7817208^2 + 3981600^2 .

Its product of digits (7681443840) is a multiple of the sum of its prime factors (1512).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 116432495094 + ... + 116432495754.

Almost surely, 2^{76961879475264} is an apocalyptic number.

76961879475264 is the 8772792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76961879475264

76961879475264 is an abundant number, since it is smaller than the sum of its proper divisors (183334519916037).

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

76961879475264 is an frugal number, since it uses more digits than its factorization.

76961879475264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 752 counting only the distinct ones).

The product of its digits is 7681443840, while the sum is 81.

The spelling of 76961879475264 in words is "seventy-six trillion, nine hundred sixty-one billion, eight hundred seventy-nine million, four hundred seventy-five thousand, two hundred sixty-four".