12632811840 has 504 divisors, whose sum is σ = 49312384992. Its totient is φ = 3056901120.

The previous prime is 12632811823. The next prime is 12632811901. The reversal of 12632811840 is 4811823621.

12632811840 is a `hidden beast` number, since 1 + 2 + 632 + 8 + 1 + 18 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12632811795 and 12632811804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23094447 + ... + 23094993.

Almost surely, 2^12632811840 is an apocalyptic number.

12632811840 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 12632811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24656192496).

12632811840 is an abundant number, since it is smaller than the sum of its proper divisors (36679573152).

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

12632811840 is an frugal number, since it uses more digits than its factorization.

12632811840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12632811840 in words is "twelve billion, six hundred thirty-two million, eight hundred eleven thousand, eight hundred forty".