13613606400 has 480 divisors, whose sum is σ = 48467612160. Its totient is φ = 3357573120.

The previous prime is 13613606351. The next prime is 13613606417. The reversal of 13613606400 is 460631631.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34291002 + ... + 34291398.

It is an arithmetic number, because the mean of its divisors is an integer number (100974192).

Almost surely, 2^13613606400 is an apocalyptic number.

13613606400 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 13613606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24233806080).

13613606400 is an abundant number, since it is smaller than the sum of its proper divisors (34854005760).

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

13613606400 is a wasteful number, since it uses less digits than its factorization.

13613606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 13613606400 in words is "thirteen billion, six hundred thirteen million, six hundred six thousand, four hundred".