7993956925440 has 1792 divisors, whose sum is σ = 31686711459840. Its totient is φ = 1926317998080.

The previous prime is 7993956925397. The next prime is 7993956925453. The reversal of 7993956925440 is 445296593997.

7993956925440 is a `hidden beast` number, since 7 + 9 + 9 + 3 + 9 + 569 + 2 + 54 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 62944542657 + ... + 62944542783.

Almost surely, 2^{7993956925440} 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 7993956925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15843355729920).

7993956925440 is an abundant number, since it is smaller than the sum of its proper divisors (23692754534400).

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

7993956925440 is an equidigital number, since it uses as much as digits as its factorization.

7993956925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 661348800, while the sum is 72.

The spelling of 7993956925440 in words is "seven trillion, nine hundred ninety-three billion, nine hundred fifty-six million, nine hundred twenty-five thousand, four hundred forty".