313788064320 has 1120 divisors, whose sum is σ = 1232113766400. Its totient is φ = 75497619456.

The previous prime is 313788064309. The next prime is 313788064321. The reversal of 313788064320 is 23460887313.

313788064320 is a `hidden beast` number, since 3 + 137 + 8 + 80 + 6 + 432 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (313788064321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1813803754 + ... + 1813803926.

Almost surely, 2^313788064320 is an apocalyptic number.

313788064320 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 313788064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616056883200).

313788064320 is an abundant number, since it is smaller than the sum of its proper divisors (918325702080).

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

313788064320 is a wasteful number, since it uses less digits than its factorization.

313788064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 313788064320 in words is "three hundred thirteen billion, seven hundred eighty-eight million, sixty-four thousand, three hundred twenty".