76477224960 has 144 divisors (see below), whose sum is σ = 265056639120. Its totient is φ = 20393902080.

The previous prime is 76477224917. The next prime is 76477225021. The reversal of 76477224960 is 6942277467.

76477224960 is a `hidden beast` number, since 7 + 64 + 77 + 22 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 76477224897 and 76477224906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322756 + ... + 507075.

It is an arithmetic number, because the mean of its divisors is an integer number (1840671105).

Almost surely, 2^76477224960 is an apocalyptic number.

It is an amenable number.

76477224960 is an abundant number, since it is smaller than the sum of its proper divisors (188579414160).

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

76477224960 is a wasteful number, since it uses less digits than its factorization.

76477224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829864 (or 829841 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 76477224960 in words is "seventy-six billion, four hundred seventy-seven million, two hundred twenty-four thousand, nine hundred sixty".