315064728760320 has 9984 divisors, whose sum is σ = 1626469963776000. Its totient is φ = 56897726054400.

The previous prime is 315064728760319. The next prime is 315064728760337. The reversal of 315064728760320 is 23067827460513.

It is a happy number.

315064728760320 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 6 + 4 + 7 + 2 + 8 + 7 + 603 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5340080148451 + ... + 5340080148509.

Almost surely, 2^{315064728760320} is an apocalyptic number.

315064728760320 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 315064728760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813234981888000).

315064728760320 is an abundant number, since it is smaller than the sum of its proper divisors (1311405235015680).

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

315064728760320 is a wasteful number, since it uses less digits than its factorization.

315064728760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 315064728760320 in words is "three hundred fifteen trillion, sixty-four billion, seven hundred twenty-eight million, seven hundred sixty thousand, three hundred twenty".