13604687040 has 448 divisors, whose sum is σ = 52435353600. Its totient is φ = 2919297024.

The previous prime is 13604687029. The next prime is 13604687071. The reversal of 13604687040 is 4078640631.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 13604687040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16214941 + ... + 16215779.

It is an arithmetic number, because the mean of its divisors is an integer number (117043200).

Almost surely, 2^13604687040 is an apocalyptic number.

13604687040 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 13604687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26217676800).

13604687040 is an abundant number, since it is smaller than the sum of its proper divisors (38830666560).

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

13604687040 is a wasteful number, since it uses less digits than its factorization.

13604687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 13604687040 in words is "thirteen billion, six hundred four million, six hundred eighty-seven thousand, forty".