13656874320 has 80 divisors (see below), whose sum is σ = 47040352320. Its totient is φ = 3641832576.

The previous prime is 13656874313. The next prime is 13656874327. The reversal of 13656874320 is 2347865631.

13656874320 is a `hidden beast` number, since 13 + 6 + 568 + 74 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13656874313) and next prime (13656874327).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13656874327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3159154 + ... + 3163473.

It is an arithmetic number, because the mean of its divisors is an integer number (588004404).

Almost surely, 2^13656874320 is an apocalyptic number.

13656874320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13656874320 is an abundant number, since it is smaller than the sum of its proper divisors (33383478000).

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

13656874320 is a wasteful number, since it uses less digits than its factorization.

13656874320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6322649 (or 6322637 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13656874320 in words is "thirteen billion, six hundred fifty-six million, eight hundred seventy-four thousand, three hundred twenty".