12632280804 has 240 divisors, whose sum is σ = 39628866816. Its totient is φ = 3457728000.

The previous prime is 12632280767. The next prime is 12632280811. The reversal of 12632280804 is 40808223621.

12632280804 is a `hidden beast` number, since 12 + 632 + 2 + 8 + 0 + 8 + 0 + 4 = 666.

It is a super-2 number, since 2×12632280804² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2174704 + ... + 2180504.

Almost surely, 2^12632280804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12632280804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19814433408).

12632280804 is an abundant number, since it is smaller than the sum of its proper divisors (26996586012).

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

12632280804 is a wasteful number, since it uses less digits than its factorization.

12632280804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5888 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 12632280804 in words is "twelve billion, six hundred thirty-two million, two hundred eighty thousand, eight hundred four".