7958928096 has 576 divisors, whose sum is σ = 28682035200. Its totient is φ = 2086318080.

The previous prime is 7958928049. The next prime is 7958928161. The reversal of 7958928096 is 6908298597.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70432936 + ... + 70433048.

It is an arithmetic number, because the mean of its divisors is an integer number (49795200).

Almost surely, 2^7958928096 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 7958928096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14341017600).

7958928096 is an abundant number, since it is smaller than the sum of its proper divisors (20723107104).

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

7958928096 is a wasteful number, since it uses less digits than its factorization.

7958928096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The square root of 7958928096 is about 89212.8247282867. The cubic root of 7958928096 is about 1996.5714672735.

The spelling of 7958928096 in words is "seven billion, nine hundred fifty-eight million, nine hundred twenty-eight thousand, ninety-six".