13329742800 has 240 divisors, whose sum is σ = 46674155520. Its totient is φ = 3225024000.

The previous prime is 13329742763. The next prime is 13329742861. The reversal of 13329742800 is 824792331.

13329742800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×13329742800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13080691 + ... + 13081709.

It is an arithmetic number, because the mean of its divisors is an integer number (194475648).

Almost surely, 2^13329742800 is an apocalyptic number.

13329742800 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 13329742800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23337077760).

13329742800 is an abundant number, since it is smaller than the sum of its proper divisors (33344412720).

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

13329742800 is a wasteful number, since it uses less digits than its factorization.

13329742800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13329742800 in words is "thirteen billion, three hundred twenty-nine million, seven hundred forty-two thousand, eight hundred".