12623060736 has 756 divisors, whose sum is σ = 45758672344. Its totient is φ = 3448811520.

The previous prime is 12623060731. The next prime is 12623060743. The reversal of 12623060736 is 63706032621.

12623060736 is a `hidden beast` number, since 1 + 26 + 23 + 0 + 607 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12623060736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12623060731) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 293559531 + ... + 293559573.

Almost surely, 2^12623060736 is an apocalyptic number.

12623060736 is a gapful number since it is divisible by the number (16) 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 12623060736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22879336172).

12623060736 is an abundant number, since it is smaller than the sum of its proper divisors (33135611608).

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

12623060736 is an equidigital number, since it uses as much as digits as its factorization.

12623060736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

It can be divided in two parts, 126230 and 60736, that added together give a triangular number (186966 = T₆₁₁).

The spelling of 12623060736 in words is "twelve billion, six hundred twenty-three million, sixty thousand, seven hundred thirty-six".