7958772864 has 288 divisors, whose sum is σ = 26790039900. Its totient is φ = 2261274624.

The previous prime is 7958772827. The next prime is 7958772883. The reversal of 7958772864 is 4682778597.

It can be written as a sum of positive squares in 2 ways, for example, as 7958067264 + 705600 = 89208^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15635842 + ... + 15636350.

Almost surely, 2^7958772864 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 7958772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395019950).

7958772864 is an abundant number, since it is smaller than the sum of its proper divisors (18831267036).

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

7958772864 is a wasteful number, since it uses less digits than its factorization.

7958772864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 798 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The square root of 7958772864 is about 89211.9547146009. The cubic root of 7958772864 is about 1996.5584867233.

The spelling of 7958772864 in words is "seven billion, nine hundred fifty-eight million, seven hundred seventy-two thousand, eight hundred sixty-four".