13332664800 has 2160 divisors, whose sum is σ = 67887998640. Its totient is φ = 2508226560.

The previous prime is 13332664759. The next prime is 13332664831. The reversal of 13332664800 is 846623331.

13332664800 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 6 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 701719191 + ... + 701719209.

It is an arithmetic number, because the mean of its divisors is an integer number (31429629).

Almost surely, 2^13332664800 is an apocalyptic number.

13332664800 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 13332664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33943999320).

13332664800 is an abundant number, since it is smaller than the sum of its proper divisors (54555333840).

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

13332664800 is a wasteful number, since it uses less digits than its factorization.

13332664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

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

The spelling of 13332664800 in words is "thirteen billion, three hundred thirty-two million, six hundred sixty-four thousand, eight hundred".