12632793600 has 240 divisors, whose sum is σ = 47694322368. Its totient is φ = 2887434240.

The previous prime is 12632793583. The next prime is 12632793689. The reversal of 12632793600 is 639723621.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 245302 + ... + 292298.

Almost surely, 2^12632793600 is an apocalyptic number.

12632793600 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 12632793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23847161184).

12632793600 is an abundant number, since it is smaller than the sum of its proper divisors (35061528768).

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

12632793600 is an equidigital number, since it uses as much as digits as its factorization.

12632793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47035 (or 47014 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 12632793600 in words is "twelve billion, six hundred thirty-two million, seven hundred ninety-three thousand, six hundred".