13437688320 has 320 divisors, whose sum is σ = 54552579840. Its totient is φ = 3071361024.

The previous prime is 13437688309. The next prime is 13437688339. The reversal of 13437688320 is 2388673431.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469954 + ... + 497726.

It is an arithmetic number, because the mean of its divisors is an integer number (170476812).

Almost surely, 2^13437688320 is an apocalyptic number.

13437688320 is a gapful number since it is divisible by the number (10) 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 13437688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27276289920).

13437688320 is an abundant number, since it is smaller than the sum of its proper divisors (41114891520).

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

13437688320 is an equidigital number, since it uses as much as digits as its factorization.

13437688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27812 (or 27790 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13437688320 in words is "thirteen billion, four hundred thirty-seven million, six hundred eighty-eight thousand, three hundred twenty".