312317792640 has 1152 divisors, whose sum is σ = 1333743840000. Its totient is φ = 65924554752.

The previous prime is 312317792639. The next prime is 312317792681. The reversal of 312317792640 is 46297713213.

312317792640 is a `hidden beast` number, since 3 + 1 + 2 + 317 + 79 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 625887111 + ... + 625887609.

It is an arithmetic number, because the mean of its divisors is an integer number (1157763750).

Almost surely, 2^312317792640 is an apocalyptic number.

312317792640 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 312317792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666871920000).

312317792640 is an abundant number, since it is smaller than the sum of its proper divisors (1021426047360).

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

312317792640 is a wasteful number, since it uses less digits than its factorization.

312317792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 312317792640 in words is "three hundred twelve billion, three hundred seventeen million, seven hundred ninety-two thousand, six hundred forty".