315197640576 has 768 divisors, whose sum is σ = 1218808281600. Its totient is φ = 78740398080.

The previous prime is 315197640533. The next prime is 315197640673. The reversal of 315197640576 is 675046791513.

315197640576 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 9 + 7 + 64 + 0 + 576 = 666.

It is a super-5 number, since 5×315197640576⁵ (a number of 59 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53775886 + ... + 53781746.

It is an arithmetic number, because the mean of its divisors is an integer number (1586989950).

Almost surely, 2^315197640576 is an apocalyptic number.

315197640576 is a gapful number since it is divisible by the number (36) 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 315197640576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609404140800).

315197640576 is an abundant number, since it is smaller than the sum of its proper divisors (903610641024).

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

315197640576 is a wasteful number, since it uses less digits than its factorization.

315197640576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 315197640576 in words is "three hundred fifteen billion, one hundred ninety-seven million, six hundred forty thousand, five hundred seventy-six".