13620504768 has 224 divisors, whose sum is σ = 41630803200. Its totient is φ = 3894718464.

The previous prime is 13620504683. The next prime is 13620504769. The reversal of 13620504768 is 86740502631.

It is a super-2 number, since 2×13620504768² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13620504769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2510763 + ... + 2516181.

It is an arithmetic number, because the mean of its divisors is an integer number (185851800).

Almost surely, 2^13620504768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13620504768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20815401600).

13620504768 is an abundant number, since it is smaller than the sum of its proper divisors (28010298432).

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

13620504768 is a wasteful number, since it uses less digits than its factorization.

13620504768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 13620504768 in words is "thirteen billion, six hundred twenty million, five hundred four thousand, seven hundred sixty-eight".