7957329408 has 160 divisors (see below), whose sum is σ = 26919467520. Its totient is φ = 2273495040.

The previous prime is 7957329379. The next prime is 7957329421. The reversal of 7957329408 is 8049237597.

7957329408 is a `hidden beast` number, since 7 + 9 + 573 + 29 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55653 + ... + 137883.

It is an arithmetic number, because the mean of its divisors is an integer number (168246672).

Almost surely, 2^7957329408 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 7957329408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13459733760).

7957329408 is an abundant number, since it is smaller than the sum of its proper divisors (18962138112).

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

7957329408 is an equidigital number, since it uses as much as digits as its factorization.

7957329408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82265 (or 82243 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7957329408 is about 89203.8643109142. The cubic root of 7957329408 is about 1996.4377763817.

The spelling of 7957329408 in words is "seven billion, nine hundred fifty-seven million, three hundred twenty-nine thousand, four hundred eight".