7956845568 has 176 divisors, whose sum is σ = 26931314560. Its totient is φ = 2273329152.

The previous prime is 7956845557. The next prime is 7956845573. The reversal of 7956845568 is 8655486597.

7956845568 is a `hidden beast` number, since 7 + 9 + 5 + 68 + 4 + 5 + 568 = 666.

It is a super-2 number, since 2×7956845568² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172980 + ... + 214092.

Almost surely, 2^7956845568 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 7956845568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465657280).

7956845568 is an abundant number, since it is smaller than the sum of its proper divisors (18974468992).

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

7956845568 is a wasteful number, since it uses less digits than its factorization.

7956845568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41149 (or 41125 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The square root of 7956845568 is about 89201.1522795530. The cubic root of 7956845568 is about 1996.3973115480.

The spelling of 7956845568 in words is "seven billion, nine hundred fifty-six million, eight hundred forty-five thousand, five hundred sixty-eight".