7959476015568 has 960 divisors, whose sum is σ = 31757247763200. Its totient is φ = 1878661693440.

The previous prime is 7959476015537. The next prime is 7959476015633. The reversal of 7959476015568 is 8655106749597.

7959476015568 is a `hidden beast` number, since 7 + 9 + 5 + 9 + 4 + 7 + 60 + 1 + 556 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7959476015496 and 7959476015505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114759396 + ... + 114828732.

It is an arithmetic number, because the mean of its divisors is an integer number (33080466420).

Almost surely, 2^{7959476015568} 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 7959476015568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878623881600).

7959476015568 is an abundant number, since it is smaller than the sum of its proper divisors (23797771747632).

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

7959476015568 is a wasteful number, since it uses less digits than its factorization.

7959476015568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69425 (or 69406 counting only the distinct ones).

The product of its (nonzero) digits is 571536000, while the sum is 72.

The spelling of 7959476015568 in words is "seven trillion, nine hundred fifty-nine billion, four hundred seventy-six million, fifteen thousand, five hundred sixty-eight".