13700824704 has 160 divisors (see below), whose sum is σ = 46598455200. Its totient is φ = 3914500608.

The previous prime is 13700824693. The next prime is 13700824717. The reversal of 13700824704 is 40742800731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21814 + ... + 166965.

It is an arithmetic number, because the mean of its divisors is an integer number (291240345).

Almost surely, 2^13700824704 is an apocalyptic number.

13700824704 is a gapful number since it is divisible by the number (14) 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 13700824704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23299227600).

13700824704 is an abundant number, since it is smaller than the sum of its proper divisors (32897630496).

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

13700824704 is an equidigital number, since it uses as much as digits as its factorization.

13700824704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188812 (or 188791 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 13700824704 in words is "thirteen billion, seven hundred million, eight hundred twenty-four thousand, seven hundred four".