12672966656 has 112 divisors (see below), whose sum is σ = 29903562240. Its totient is φ = 5255331840.

The previous prime is 12672966637. The next prime is 12672966697. The reversal of 12672966656 is 65666927621.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1774100 + ... + 1781228.

Almost surely, 2^12672966656 is an apocalyptic number.

12672966656 is a gapful number since it is divisible by the number (16) 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 12672966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951781120).

12672966656 is an abundant number, since it is smaller than the sum of its proper divisors (17230595584).

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

12672966656 is an frugal number, since it uses more digits than its factorization.

12672966656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7193 (or 7169 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 56.

The spelling of 12672966656 in words is "twelve billion, six hundred seventy-two million, nine hundred sixty-six thousand, six hundred fifty-six".