8013393360 has 720 divisors, whose sum is σ = 34295519232. Its totient is φ = 1664409600.

The previous prime is 8013393359. The next prime is 8013393413. The reversal of 8013393360 is 633933108.

8013393360 is a `hidden beast` number, since 80 + 133 + 93 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18592345 + ... + 18592775.

Almost surely, 2^8013393360 is an apocalyptic number.

8013393360 is a gapful number since it is divisible by the number (80) 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 8013393360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17147759616).

8013393360 is an abundant number, since it is smaller than the sum of its proper divisors (26282125872).

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

8013393360 is a wasteful number, since it uses less digits than its factorization.

8013393360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 8013393360 is about 89517.5589479517. The cubic root of 8013393360 is about 2001.1154910575.

The spelling of 8013393360 in words is "eight billion, thirteen million, three hundred ninety-three thousand, three hundred sixty".