7993929625920 has 336 divisors, whose sum is σ = 31431652412160. Its totient is φ = 1826724814848.

The previous prime is 7993929625919. The next prime is 7993929625949. The reversal of 7993929625920 is 295269293997.

It is a happy number.

7993929625920 is a `hidden beast` number, since 7 + 9 + 9 + 3 + 9 + 29 + 6 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7993929625920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83676741 + ... + 83772219.

It is an arithmetic number, because the mean of its divisors is an integer number (93546584560).

Almost surely, 2^{7993929625920} is an apocalyptic number.

7993929625920 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 7993929625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15715826206080).

7993929625920 is an abundant number, since it is smaller than the sum of its proper divisors (23437722786240).

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

7993929625920 is a wasteful number, since it uses less digits than its factorization.

7993929625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99662 (or 99649 counting only the distinct ones).

The product of its (nonzero) digits is 297606960, while the sum is 72.

The spelling of 7993929625920 in words is "seven trillion, nine hundred ninety-three billion, nine hundred twenty-nine million, six hundred twenty-five thousand, nine hundred twenty".