13577902464 has 64 divisors (see below), whose sum is σ = 41218640640. Its totient is φ = 3879399936.

The previous prime is 13577902453. The next prime is 13577902537. The reversal of 13577902464 is 46420977531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2522964 + ... + 2528339.

It is an arithmetic number, because the mean of its divisors is an integer number (644041260).

Almost surely, 2^13577902464 is an apocalyptic number.

13577902464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13577902464 is an abundant number, since it is smaller than the sum of its proper divisors (27640738176).

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

13577902464 is an equidigital number, since it uses as much as digits as its factorization.

13577902464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051327 (or 5051315 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 13577902464 in words is "thirteen billion, five hundred seventy-seven million, nine hundred two thousand, four hundred sixty-four".