77356930648320 has 216 divisors, whose sum is σ = 274880624139576. Its totient is φ = 20070987300864.

The previous prime is 77356930648303. The next prime is 77356930648409. The reversal of 77356930648320 is 2384603965377.

77356930648320 is a `hidden beast` number, since 7 + 7 + 3 + 569 + 3 + 0 + 6 + 48 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4731355828224 + 72625574820096 = 2175168^2 + 8522064^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90317157 + ... + 91169636.

Almost surely, 2^{77356930648320} is an apocalyptic number.

It is an amenable number.

77356930648320 is an abundant number, since it is smaller than the sum of its proper divisors (197523693491256).

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

77356930648320 is a wasteful number, since it uses less digits than its factorization.

77356930648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181486857 (or 181486840 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 77356930648320 in words is "seventy-seven trillion, three hundred fifty-six billion, nine hundred thirty million, six hundred forty-eight thousand, three hundred twenty".