7935580864 has 56 divisors (see below), whose sum is σ = 16102236528. Its totient is φ = 3879321600.

The previous prime is 7935580853. The next prime is 7935580879. The reversal of 7935580864 is 4680855397.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507564 + ... + 522964.

It is an arithmetic number, because the mean of its divisors is an integer number (287539938).

Almost surely, 2^7935580864 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 7935580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8051118264).

7935580864 is an abundant number, since it is smaller than the sum of its proper divisors (8166655664).

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

7935580864 is a wasteful number, since it uses less digits than its factorization.

7935580864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15593 (or 15583 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The square root of 7935580864 is about 89081.8773039724. The cubic root of 7935580864 is about 1994.6172647438.

The spelling of 7935580864 in words is "seven billion, nine hundred thirty-five million, five hundred eighty thousand, eight hundred sixty-four".