7911648640 has 256 divisors, whose sum is σ = 23318668800. Its totient is φ = 2506014720.

The previous prime is 7911648623. The next prime is 7911648653. The reversal of 7911648640 is 468461197.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3488787 + ... + 3491053.

It is an arithmetic number, because the mean of its divisors is an integer number (91088550).

Almost surely, 2^7911648640 is an apocalyptic number.

7911648640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7911648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11659334400).

7911648640 is an abundant number, since it is smaller than the sum of its proper divisors (15407020160).

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

7911648640 is a wasteful number, since it uses less digits than its factorization.

7911648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2353 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 7911648640 is about 88947.4487548687. The cubic root of 7911648640 is about 1992.6101150976.

The spelling of 7911648640 in words is "seven billion, nine hundred eleven million, six hundred forty-eight thousand, six hundred forty".