12676845600 has 1152 divisors, whose sum is σ = 53996544000. Its totient is φ = 2846638080.

The previous prime is 12676845589. The next prime is 12676845631. The reversal of 12676845600 is 654867621.

12676845600 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 6 + 84 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160466361 + ... + 160466439.

It is an arithmetic number, because the mean of its divisors is an integer number (46872000).

Almost surely, 2^12676845600 is an apocalyptic number.

12676845600 is a gapful number since it is divisible by the number (10) 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 12676845600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272000).

12676845600 is an abundant number, since it is smaller than the sum of its proper divisors (41319698400).

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

12676845600 is a wasteful number, since it uses less digits than its factorization.

12676845600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12676845600 in words is "twelve billion, six hundred seventy-six million, eight hundred forty-five thousand, six hundred".