13204627632 has 240 divisors, whose sum is σ = 43175808000. Its totient is φ = 3689312256.

The previous prime is 13204627627. The next prime is 13204627633. The reversal of 13204627632 is 23672640231.

13204627632 is a `hidden beast` number, since 1 + 3 + 20 + 4 + 627 + 6 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13204627633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14213344 + ... + 14214272.

It is an arithmetic number, because the mean of its divisors is an integer number (179899200).

Almost surely, 2^13204627632 is an apocalyptic number.

13204627632 is a gapful number since it is divisible by the number (12) 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 13204627632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21587904000).

13204627632 is an abundant number, since it is smaller than the sum of its proper divisors (29971180368).

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

13204627632 is a wasteful number, since it uses less digits than its factorization.

13204627632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13204627632 in words is "thirteen billion, two hundred four million, six hundred twenty-seven thousand, six hundred thirty-two".