12632889600 has 324 divisors, whose sum is σ = 46843991376. Its totient is φ = 3368355840.

The previous prime is 12632889593. The next prime is 12632889617. The reversal of 12632889600 is 698823621.

12632889600 is a `hidden beast` number, since 1 + 2 + 6 + 32 + 8 + 8 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1551139 + ... + 1559261.

Almost surely, 2^12632889600 is an apocalyptic number.

12632889600 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 12632889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23421995688).

12632889600 is an abundant number, since it is smaller than the sum of its proper divisors (34211101776).

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

12632889600 is an frugal number, since it uses more digits than its factorization.

12632889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8164 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 12632889600 in words is "twelve billion, six hundred thirty-two million, eight hundred eighty-nine thousand, six hundred".