13620603864 has 256 divisors, whose sum is σ = 43443578880. Its totient is φ = 3467059200.

The previous prime is 13620603859. The next prime is 13620603869. The reversal of 13620603864 is 46830602631.

It is an interprime number because it is at equal distance from previous prime (13620603859) and next prime (13620603869).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13620603869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6633462 + ... + 6635514.

It is an arithmetic number, because the mean of its divisors is an integer number (169701480).

Almost surely, 2^13620603864 is an apocalyptic number.

13620603864 is a gapful number since it is divisible by the number (14) 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 13620603864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21721789440).

13620603864 is an abundant number, since it is smaller than the sum of its proper divisors (29822975016).

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

13620603864 is a wasteful number, since it uses less digits than its factorization.

13620603864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 13620603864 in words is "thirteen billion, six hundred twenty million, six hundred three thousand, eight hundred sixty-four".