8315372520 has 1152 divisors, whose sum is σ = 37645171200. Its totient is φ = 1630347264.

The previous prime is 8315372473. The next prime is 8315372539. The reversal of 8315372520 is 252735138.

It is a happy number.

8315372520 is a `hidden beast` number, since 83 + 1 + 53 + 7 + 2 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 105257841 + ... + 105257919.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 2^8315372520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8315372520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18822585600).

8315372520 is an abundant number, since it is smaller than the sum of its proper divisors (29329798680).

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

8315372520 is a wasteful number, since it uses less digits than its factorization.

8315372520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 8315372520 is about 91188.6644271096. The cubic root of 8315372520 is about 2025.9430669070.

The spelling of 8315372520 in words is "eight billion, three hundred fifteen million, three hundred seventy-two thousand, five hundred twenty".