12624056640 has 504 divisors, whose sum is σ = 48358199448. Its totient is φ = 3019161600.

The previous prime is 12624056609. The next prime is 12624056657. The reversal of 12624056640 is 4665042621.

12624056640 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 4 + 0 + 5 + 6 + 640 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 2136658176 + 10487398464 = 46224^2 + 102408^2 .

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 = 12624056595 and 12624056604.

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, 18008290 + ... + 18008990.

Almost surely, 2^12624056640 is an apocalyptic number.

12624056640 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 12624056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24179099724).

12624056640 is an abundant number, since it is smaller than the sum of its proper divisors (35734142808).

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

12624056640 is a wasteful number, since it uses less digits than its factorization.

12624056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12624056640 in words is "twelve billion, six hundred twenty-four million, fifty-six thousand, six hundred forty".