12774836800 has 168 divisors, whose sum is σ = 34446545280. Its totient is φ = 4624435200.

The previous prime is 12774836797. The next prime is 12774836861. The reversal of 12774836800 is 863847721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4204882 + ... + 4207918.

It is an arithmetic number, because the mean of its divisors is an integer number (205038960).

Almost surely, 2^12774836800 is an apocalyptic number.

12774836800 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 12774836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17223272640).

12774836800 is an abundant number, since it is smaller than the sum of its proper divisors (21671708480).

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

12774836800 is a wasteful number, since it uses less digits than its factorization.

12774836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 12774836800 in words is "twelve billion, seven hundred seventy-four million, eight hundred thirty-six thousand, eight hundred".