13008984640 has 56 divisors (see below), whose sum is σ = 30988220472. Its totient is φ = 5201817600.

The previous prime is 13008984601. The next prime is 13008984641. The reversal of 13008984640 is 4648980031.

It can be written as a sum of positive squares in 4 ways, for example, as 263477824 + 12745506816 = 16232^2 + 112896^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13008984641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1339482 + ... + 1349158.

Almost surely, 2^13008984640 is an apocalyptic number.

13008984640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13008984640 is an abundant number, since it is smaller than the sum of its proper divisors (17979235832).

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

13008984640 is an equidigital number, since it uses as much as digits as its factorization.

13008984640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13895 (or 13885 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 13008984640 in words is "thirteen billion, eight million, nine hundred eighty-four thousand, six hundred forty".