13320964800 has 504 divisors, whose sum is σ = 55631699760. Its totient is φ = 2980454400.

The previous prime is 13320964697. The next prime is 13320964817. The reversal of 13320964800 is 846902331.

13320964800 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 9 + 648 + 0 + 0 = 666.

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, 2055966 + ... + 2062434.

Almost surely, 2^13320964800 is an apocalyptic number.

13320964800 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 13320964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27815849880).

13320964800 is an abundant number, since it is smaller than the sum of its proper divisors (42310734960).

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

13320964800 is a wasteful number, since it uses less digits than its factorization.

13320964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13320964800 in words is "thirteen billion, three hundred twenty million, nine hundred sixty-four thousand, eight hundred".