13329632400 has 480 divisors, whose sum is σ = 52489973760. Its totient is φ = 2823413760.

The previous prime is 13329632399. The next prime is 13329632401. The reversal of 13329632400 is 423692331.

It is an interprime number because it is at equal distance from previous prime (13329632399) and next prime (13329632401).

It is not an unprimeable number, because it can be changed into a prime (13329632401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7500312 + ... + 7502088.

It is an arithmetic number, because the mean of its divisors is an integer number (109354112).

Almost surely, 2^13329632400 is an apocalyptic number.

13329632400 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 13329632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26244986880).

13329632400 is an abundant number, since it is smaller than the sum of its proper divisors (39160341360).

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

13329632400 is a wasteful number, since it uses less digits than its factorization.

13329632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 13329632400 in words is "thirteen billion, three hundred twenty-nine million, six hundred thirty-two thousand, four hundred".