13608836640 has 432 divisors, whose sum is σ = 56871097920. Its totient is φ = 2946585600.

The previous prime is 13608836611. The next prime is 13608836669. The reversal of 13608836640 is 4663880631.

13608836640 is a `hidden beast` number, since 1 + 3 + 608 + 8 + 36 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13608836611) and next prime (13608836669).

It is a super-3 number, since 3×13608836640³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1335565 + ... + 1345715.

It is an arithmetic number, because the mean of its divisors is an integer number (131646060).

Almost surely, 2^13608836640 is an apocalyptic number.

13608836640 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 13608836640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435548960).

13608836640 is an abundant number, since it is smaller than the sum of its proper divisors (43262261280).

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

13608836640 is a wasteful number, since it uses less digits than its factorization.

13608836640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10205 (or 10187 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 13608836640 in words is "thirteen billion, six hundred eight million, eight hundred thirty-six thousand, six hundred forty".