12644604560 has 80 divisors (see below), whose sum is σ = 33676761216. Its totient is φ = 4325197824.

The previous prime is 12644604541. The next prime is 12644604587. The reversal of 12644604560 is 6540644621.

12644604560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216407 + ... + 268553.

Almost surely, 2^12644604560 is an apocalyptic number.

12644604560 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 12644604560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16838380608).

12644604560 is an abundant number, since it is smaller than the sum of its proper divisors (21032156656).

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

12644604560 is a wasteful number, since it uses less digits than its factorization.

12644604560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52600 (or 52594 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 12644604560 in words is "twelve billion, six hundred forty-four million, six hundred four thousand, five hundred sixty".