312364877760 has 168 divisors, whose sum is σ = 1157051706720. Its totient is φ = 76889806848.

The previous prime is 312364877731. The next prime is 312364877819. The reversal of 312364877760 is 67778463213.

312364877760 is a `hidden beast` number, since 3 + 1 + 2 + 36 + 487 + 77 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312364877697 and 312364877706.

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, 4134100 + ... + 4208979.

It is an arithmetic number, because the mean of its divisors is an integer number (6887212540).

Almost surely, 2^312364877760 is an apocalyptic number.

312364877760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312364877760 is an abundant number, since it is smaller than the sum of its proper divisors (844686828960).

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

312364877760 is a wasteful number, since it uses less digits than its factorization.

312364877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8343115 (or 8343102 counting only the distinct ones).

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

The spelling of 312364877760 in words is "three hundred twelve billion, three hundred sixty-four million, eight hundred seventy-seven thousand, seven hundred sixty".