77944251864960 has 192 divisors, whose sum is σ = 289855186901280. Its totient is φ = 19186277363712.

The previous prime is 77944251864953. The next prime is 77944251864977. The reversal of 77944251864960 is 6946815244977.

77944251864960 is a `hidden beast` number, since 7 + 7 + 9 + 4 + 4 + 2 + 51 + 86 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 520386204 + ... + 520535963.

Almost surely, 2^{77944251864960} is an apocalyptic number.

It is an amenable number.

77944251864960 is an abundant number, since it is smaller than the sum of its proper divisors (211910935036320).

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

77944251864960 is a wasteful number, since it uses less digits than its factorization.

77944251864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040922205 (or 1040922190 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 77944251864960 in words is "seventy-seven trillion, nine hundred forty-four billion, two hundred fifty-one million, eight hundred sixty-four thousand, nine hundred sixty".