12646672560 has 120 divisors (see below), whose sum is σ = 44044837200. Its totient is φ = 3372440832.

The previous prime is 12646672559. The next prime is 12646672603. The reversal of 12646672560 is 6527664621.

12646672560 is a `hidden beast` number, since 1 + 26 + 4 + 6 + 67 + 2 + 560 = 666.

12646672560 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 305835 + ... + 344714.

It is an arithmetic number, because the mean of its divisors is an integer number (367040310).

Almost surely, 2^12646672560 is an apocalyptic number.

12646672560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12646672560 is an abundant number, since it is smaller than the sum of its proper divisors (31398164640).

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

12646672560 is an equidigital number, since it uses as much as digits as its factorization.

12646672560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650577 (or 650559 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12646672560 in words is "twelve billion, six hundred forty-six million, six hundred seventy-two thousand, five hundred sixty".