12633024768 has 720 divisors, whose sum is σ = 46168367616. Its totient is φ = 3034644480.

The previous prime is 12633024757. The next prime is 12633024769. The reversal of 12633024768 is 86742033621.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12633024769) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 407516913 + ... + 407516943.

Almost surely, 2^12633024768 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 12633024768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23084183808).

12633024768 is an abundant number, since it is smaller than the sum of its proper divisors (33535342848).

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

12633024768 is an equidigital number, since it uses as much as digits as its factorization.

12633024768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 12633024768 in words is "twelve billion, six hundred thirty-three million, twenty-four thousand, seven hundred sixty-eight".