312643880640 has 1008 divisors, whose sum is σ = 1355673822048. Its totient is φ = 65548320768.

The previous prime is 312643880621. The next prime is 312643880651. The reversal of 312643880640 is 46088346213.

312643880640 is a `hidden beast` number, since 3 + 1 + 264 + 388 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×312643880640² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 354069639 + ... + 354070521.

It is an arithmetic number, because the mean of its divisors is an integer number (1344914506).

Almost surely, 2^312643880640 is an apocalyptic number.

312643880640 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 312643880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677836911024).

312643880640 is an abundant number, since it is smaller than the sum of its proper divisors (1043029941408).

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

312643880640 is a wasteful number, since it uses less digits than its factorization.

312643880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 312643880640 in words is "three hundred twelve billion, six hundred forty-three million, eight hundred eighty thousand, six hundred forty".