12774972672 has 756 divisors, whose sum is σ = 48899805696. Its totient is φ = 3292047360.

The previous prime is 12774972629. The next prime is 12774972673. The reversal of 12774972672 is 27627947721.

12774972672 is a `hidden beast` number, since 12 + 77 + 497 + 2 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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 (12774972673) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 100590273 + ... + 100590399.

Almost surely, 2^12774972672 is an apocalyptic number.

12774972672 is a gapful number since it is divisible by the number (12) 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 12774972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24449902848).

12774972672 is an abundant number, since it is smaller than the sum of its proper divisors (36124833024).

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

12774972672 is an equidigital number, since it uses as much as digits as its factorization.

12774972672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 150 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The spelling of 12774972672 in words is "twelve billion, seven hundred seventy-four million, nine hundred seventy-two thousand, six hundred seventy-two".