13604336400 has 120 divisors (see below), whose sum is σ = 44011093824. Its totient is φ = 3591872000.

The previous prime is 13604336387. The next prime is 13604336413. The reversal of 13604336400 is 463340631.

It is an interprime number because it is at equal distance from previous prime (13604336387) and next prime (13604336413).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65077 + ... + 177323.

Almost surely, 2^13604336400 is an apocalyptic number.

13604336400 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 13604336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22005546912).

13604336400 is an abundant number, since it is smaller than the sum of its proper divisors (30406757424).

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

13604336400 is a wasteful number, since it uses less digits than its factorization.

13604336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112369 (or 112358 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 13604336400 in words is "thirteen billion, six hundred four million, three hundred thirty-six thousand, four hundred".