7791358464 has 160 divisors (see below), whose sum is σ = 23808238080. Its totient is φ = 2513203200.

The previous prime is 7791358429. The next prime is 7791358483. The reversal of 7791358464 is 4648531977.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7791358464.

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, 419454 + ... + 437634.

It is an arithmetic number, because the mean of its divisors is an integer number (148801488).

Almost surely, 2^7791358464 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 7791358464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904119040).

7791358464 is an abundant number, since it is smaller than the sum of its proper divisors (16016879616).

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

7791358464 is a wasteful number, since it uses less digits than its factorization.

7791358464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18239 (or 18217 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 7791358464 is about 88268.6720416706. The cubic root of 7791358464 is about 1982.4598261820.

The spelling of 7791358464 in words is "seven billion, seven hundred ninety-one million, three hundred fifty-eight thousand, four hundred sixty-four".