7958868624 has 320 divisors, whose sum is σ = 27033825280. Its totient is φ = 2194698240.

The previous prime is 7958868623. The next prime is 7958868653. The reversal of 7958868624 is 4268688597.

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

It is not an unprimeable number, because it can be changed into a prime (7958868623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12612789 + ... + 12613419.

It is an arithmetic number, because the mean of its divisors is an integer number (84480704).

Almost surely, 2^7958868624 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 7958868624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13516912640).

7958868624 is an abundant number, since it is smaller than the sum of its proper divisors (19074956656).

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

7958868624 is a wasteful number, since it uses less digits than its factorization.

7958868624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 783 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The square root of 7958868624 is about 89212.4914123577. The cubic root of 7958868624 is about 1996.5664942255.

The spelling of 7958868624 in words is "seven billion, nine hundred fifty-eight million, eight hundred sixty-eight thousand, six hundred twenty-four".