12734618400 has 864 divisors, whose sum is σ = 55278961920. Its totient is φ = 2692546560.

The previous prime is 12734618389. The next prime is 12734618411. The reversal of 12734618400 is 481643721.

12734618400 is a `hidden beast` number, since 1 + 2 + 7 + 34 + 618 + 4 + 0 + 0 = 666.

12734618400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12734618389) and next prime (12734618411).

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

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, 76255117 + ... + 76255283.

It is an arithmetic number, because the mean of its divisors is an integer number (63980280).

Almost surely, 2^12734618400 is an apocalyptic number.

12734618400 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 12734618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27639480960).

12734618400 is an abundant number, since it is smaller than the sum of its proper divisors (42544343520).

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

12734618400 is a wasteful number, since it uses less digits than its factorization.

12734618400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

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

The spelling of 12734618400 in words is "twelve billion, seven hundred thirty-four million, six hundred eighteen thousand, four hundred".