13368643200 has 576 divisors, whose sum is σ = 54802519200. Its totient is φ = 3068928000.

The previous prime is 13368643193. The next prime is 13368643241. The reversal of 13368643200 is 234686331.

13368643200 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 8 + 643 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6018090 + ... + 6020310.

Almost surely, 2^13368643200 is an apocalyptic number.

13368643200 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 13368643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27401259600).

13368643200 is an abundant number, since it is smaller than the sum of its proper divisors (41433876000).

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

13368643200 is a wasteful number, since it uses less digits than its factorization.

13368643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13368643200 in words is "thirteen billion, three hundred sixty-eight million, six hundred forty-three thousand, two hundred".