7993952104320 has 4608 divisors, whose sum is σ = 39251365171200. Its totient is φ = 1535034654720.

The previous prime is 7993952104319. The next prime is 7993952104367. The reversal of 7993952104320 is 234012593997.

7993952104320 is a `hidden beast` number, since 7 + 9 + 9 + 395 + 210 + 4 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 58350015292 + ... + 58350015428.

It is an arithmetic number, because the mean of its divisors is an integer number (8518091400).

Almost surely, 2^{7993952104320} is an apocalyptic number.

7993952104320 is a gapful number since it is divisible by the number (70) 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 7993952104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19625682585600).

7993952104320 is an abundant number, since it is smaller than the sum of its proper divisors (31257413066880).

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

7993952104320 is a wasteful number, since it uses less digits than its factorization.

7993952104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 7993952104320 in words is "seven trillion, nine hundred ninety-three billion, nine hundred fifty-two million, one hundred four thousand, three hundred twenty".