312386763676920 has 256 divisors, whose sum is σ = 945492844953600. Its totient is φ = 82566107965440.

The previous prime is 312386763676907. The next prime is 312386763676937. The reversal of 312386763676920 is 29676367683213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8362182882 + ... + 8362220238.

It is an arithmetic number, because the mean of its divisors is an integer number (3693331425600).

Almost surely, 2^{312386763676920} is an apocalyptic number.

312386763676920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312386763676920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472746422476800).

312386763676920 is an abundant number, since it is smaller than the sum of its proper divisors (633106081276680).

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

312386763676920 is a wasteful number, since it uses less digits than its factorization.

312386763676920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38878 (or 38874 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 69.

The spelling of 312386763676920 in words is "three hundred twelve trillion, three hundred eighty-six billion, seven hundred sixty-three million, six hundred seventy-six thousand, nine hundred twenty".