8313975792 has 120 divisors (see below), whose sum is σ = 23590240128. Its totient is φ = 2733120000.

The previous prime is 8313975773. The next prime is 8313975793. The reversal of 8313975792 is 2975793138.

8313975792 is a `hidden beast` number, since 8 + 31 + 39 + 7 + 579 + 2 = 666.

It is a super-4 number, since 4×8313975792⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8313975793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4260417 + ... + 4262367.

Almost surely, 2^8313975792 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 8313975792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11795120064).

8313975792 is an abundant number, since it is smaller than the sum of its proper divisors (15276264336).

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

8313975792 is a wasteful number, since it uses less digits than its factorization.

8313975792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2359 (or 2350 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 8313975792 is about 91181.0056535899. The cubic root of 8313975792 is about 2025.8296284191.

The spelling of 8313975792 in words is "eight billion, three hundred thirteen million, nine hundred seventy-five thousand, seven hundred ninety-two".