13629309964800 has 480 divisors, whose sum is σ = 46017440409600. Its totient is φ = 3554375516160.

The previous prime is 13629309964793. The next prime is 13629309964859. The reversal of 13629309964800 is 846990392631.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 3391217191 + ... + 3391221209.

It is an arithmetic number, because the mean of its divisors is an integer number (95869667520).

Almost surely, 2^{13629309964800} is an apocalyptic number.

13629309964800 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 13629309964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23008720204800).

13629309964800 is an abundant number, since it is smaller than the sum of its proper divisors (32388130444800).

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

13629309964800 is a wasteful number, since it uses less digits than its factorization.

13629309964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The spelling of 13629309964800 in words is "thirteen trillion, six hundred twenty-nine billion, three hundred nine million, nine hundred sixty-four thousand, eight hundred".