13620512640 has 128 divisors (see below), whose sum is σ = 49617630720. Its totient is φ = 3113256960.

The previous prime is 13620512617. The next prime is 13620512641. The reversal of 13620512640 is 4621502631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13620512598 and 13620512607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13620512641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 493276 + ... + 520155.

It is an arithmetic number, because the mean of its divisors is an integer number (387637740).

Almost surely, 2^13620512640 is an apocalyptic number.

13620512640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13620512640 is an abundant number, since it is smaller than the sum of its proper divisors (35997118080).

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

13620512640 is a wasteful number, since it uses less digits than its factorization.

13620512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013460 (or 1013448 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 13620512640 in words is "thirteen billion, six hundred twenty million, five hundred twelve thousand, six hundred forty".