12627641316792 has 32 divisors (see below), whose sum is σ = 31573632343680. Its totient is φ = 4208609898720.

The previous prime is 12627641316727. The next prime is 12627641316799. The reversal of 12627641316792 is 29761314672621.

12627641316792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12627641316799) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37571308 + ... + 37905915.

It is an arithmetic number, because the mean of its divisors is an integer number (986676010740).

Almost surely, 2^{12627641316792} is an apocalyptic number.

12627641316792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12627641316792 is an abundant number, since it is smaller than the sum of its proper divisors (18945991026888).

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

12627641316792 is a wasteful number, since it uses less digits than its factorization.

12627641316792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75484203 (or 75484199 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The spelling of 12627641316792 in words is "twelve trillion, six hundred twenty-seven billion, six hundred forty-one million, three hundred sixteen thousand, seven hundred ninety-two".