7993227264 has 192 divisors, whose sum is σ = 23497568640. Its totient is φ = 2396160000.

The previous prime is 7993227257. The next prime is 7993227299. The reversal of 7993227264 is 4627223997.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6825399 + ... + 6826569.

It is an arithmetic number, because the mean of its divisors is an integer number (122383170).

Almost surely, 2^7993227264 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 7993227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748784320).

7993227264 is an abundant number, since it is smaller than the sum of its proper divisors (15504341376).

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

7993227264 is a wasteful number, since it uses less digits than its factorization.

7993227264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1288 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 51.

The square root of 7993227264 is about 89404.8503382227. The cubic root of 7993227264 is about 1999.4354459877.

The spelling of 7993227264 in words is "seven billion, nine hundred ninety-three million, two hundred twenty-seven thousand, two hundred sixty-four".