315977073720 has 1024 divisors, whose sum is σ = 1282300968960. Its totient is φ = 60354201600.

The previous prime is 315977073701. The next prime is 315977073749. The reversal of 315977073720 is 27370779513.

It is a super-2 number, since 2×315977073720² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 648823317 + ... + 648823803.

It is an arithmetic number, because the mean of its divisors is an integer number (1252247040).

Almost surely, 2^315977073720 is an apocalyptic number.

315977073720 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 315977073720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641150484480).

315977073720 is an abundant number, since it is smaller than the sum of its proper divisors (966323895240).

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

315977073720 is a wasteful number, since it uses less digits than its factorization.

315977073720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1944810, while the sum is 51.

The spelling of 315977073720 in words is "three hundred fifteen billion, nine hundred seventy-seven million, seventy-three thousand, seven hundred twenty".