12608900640 has 336 divisors, whose sum is σ = 51046003008. Its totient is φ = 2881847808.

The previous prime is 12608900639. The next prime is 12608900641. The reversal of 12608900640 is 4600980621.

12608900640 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 8 + 9 + 0 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (12608900639) and next prime (12608900641).

It is a tau number, because it is divible by the number of its divisors (336).

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 = 12608900595 and 12608900604.

It is not an unprimeable number, because it can be changed into a prime (12608900641) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 808759 + ... + 824201.

It is an arithmetic number, because the mean of its divisors is an integer number (151922628).

Almost surely, 2^12608900640 is an apocalyptic number.

12608900640 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 12608900640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25523001504).

12608900640 is an abundant number, since it is smaller than the sum of its proper divisors (38437102368).

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

12608900640 is an equidigital number, since it uses as much as digits as its factorization.

12608900640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15483 (or 15460 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12608900640 in words is "twelve billion, six hundred eight million, nine hundred thousand, six hundred forty".