12676656816 has 320 divisors, whose sum is σ = 40509312000. Its totient is φ = 3824485632.

The previous prime is 12676656799. The next prime is 12676656823. The reversal of 12676656816 is 61865667621.

12676656816 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 66 + 568 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15291090 + ... + 15291918.

It is an arithmetic number, because the mean of its divisors is an integer number (126591600).

Almost surely, 2^12676656816 is an apocalyptic number.

12676656816 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 12676656816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20254656000).

12676656816 is an abundant number, since it is smaller than the sum of its proper divisors (27832655184).

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

12676656816 is an equidigital number, since it uses as much as digits as its factorization.

12676656816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 876 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12676656816 in words is "twelve billion, six hundred seventy-six million, six hundred fifty-six thousand, eight hundred sixteen".