12617636976 has 280 divisors, whose sum is σ = 43717201920. Its totient is φ = 3447785088.

The previous prime is 12617636971. The next prime is 12617637001. The reversal of 12617636976 is 67963671621.

It is a happy number.

12617636976 is a `hidden beast` number, since 12 + 617 + 6 + 3 + 6 + 9 + 7 + 6 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12617636971) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1874545 + ... + 1881263.

It is an arithmetic number, because the mean of its divisors is an integer number (156132864).

Almost surely, 2^12617636976 is an apocalyptic number.

12617636976 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 12617636976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21858600960).

12617636976 is an abundant number, since it is smaller than the sum of its proper divisors (31099564944).

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

12617636976 is an equidigital number, since it uses as much as digits as its factorization.

12617636976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775 (or 6754 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The spelling of 12617636976 in words is "twelve billion, six hundred seventeen million, six hundred thirty-six thousand, nine hundred seventy-six".