12674314800 has 720 divisors, whose sum is σ = 53633948160. Its totient is φ = 2707292160.

The previous prime is 12674314777. The next prime is 12674314811. The reversal of 12674314800 is 841347621.

12674314800 is a `hidden beast` number, since 1 + 267 + 4 + 314 + 80 + 0 = 666.

12674314800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49316272 + ... + 49316528.

Almost surely, 2^12674314800 is an apocalyptic number.

12674314800 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 12674314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26816974080).

12674314800 is an abundant number, since it is smaller than the sum of its proper divisors (40959633360).

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

12674314800 is a wasteful number, since it uses less digits than its factorization.

12674314800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12674314800 in words is "twelve billion, six hundred seventy-four million, three hundred fourteen thousand, eight hundred".