12676344912 has 640 divisors, whose sum is σ = 49368268800. Its totient is φ = 3013977600.

The previous prime is 12676344887. The next prime is 12676344937. The reversal of 12676344912 is 21944367621.

12676344912 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 634 + 4 + 9 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12676344887) and next prime (12676344937).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19592173 + ... + 19592819.

It is an arithmetic number, because the mean of its divisors is an integer number (77137920).

Almost surely, 2^12676344912 is an apocalyptic number.

12676344912 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 12676344912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24684134400).

12676344912 is an abundant number, since it is smaller than the sum of its proper divisors (36691923888).

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

12676344912 is a wasteful number, since it uses less digits than its factorization.

12676344912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 720 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 12676344912 in words is "twelve billion, six hundred seventy-six million, three hundred forty-four thousand, nine hundred twelve".