12632669280 has 480 divisors, whose sum is σ = 55588135680. Its totient is φ = 2624762880.

The previous prime is 12632669239. The next prime is 12632669359. The reversal of 12632669280 is 8296623621.

12632669280 is a `hidden beast` number, since 1 + 2 + 632 + 6 + 6 + 9 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

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, 991591 + ... + 1004249.

It is an arithmetic number, because the mean of its divisors is an integer number (115808616).

Almost surely, 2^12632669280 is an apocalyptic number.

12632669280 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 12632669280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27794067840).

12632669280 is an abundant number, since it is smaller than the sum of its proper divisors (42955466400).

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

12632669280 is a wasteful number, since it uses less digits than its factorization.

12632669280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12704 (or 12687 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12632669280 in words is "twelve billion, six hundred thirty-two million, six hundred sixty-nine thousand, two hundred eighty".