12640563556632 has 256 divisors, whose sum is σ = 38400027955200. Its totient is φ = 3820955120640.

The previous prime is 12640563556627. The next prime is 12640563556639. The reversal of 12640563556632 is 23665536504621.

It is a happy number.

12640563556632 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 0 + 56 + 3 + 556 + 6 + 32 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640563556639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2836112548 + ... + 2836117004.

It is an arithmetic number, because the mean of its divisors is an integer number (150000109200).

Almost surely, 2^{12640563556632} is an apocalyptic number.

12640563556632 is a gapful number since it is divisible by the number (12) 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 12640563556632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19200013977600).

12640563556632 is an abundant number, since it is smaller than the sum of its proper divisors (25759464398568).

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

12640563556632 is a wasteful number, since it uses less digits than its factorization.

12640563556632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7183 (or 7173 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 12640563556632 in words is "twelve trillion, six hundred forty billion, five hundred sixty-three million, five hundred fifty-six thousand, six hundred thirty-two".