315247563360 has 768 divisors, whose sum is σ = 1165018982400. Its totient is φ = 79537766400.

The previous prime is 315247563329. The next prime is 315247563383. The reversal of 315247563360 is 63365742513.

It is a happy number.

315247563360 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 4 + 7 + 5 + 633 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1013657605 + ... + 1013657915.

It is an arithmetic number, because the mean of its divisors is an integer number (1516951800).

Almost surely, 2^315247563360 is an apocalyptic number.

315247563360 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 315247563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582509491200).

315247563360 is an abundant number, since it is smaller than the sum of its proper divisors (849771419040).

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

315247563360 is a wasteful number, since it uses less digits than its factorization.

315247563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 315247563360 in words is "three hundred fifteen billion, two hundred forty-seven million, five hundred sixty-three thousand, three hundred sixty".