12627738000 has 320 divisors, whose sum is σ = 45809687040. Its totient is φ = 3366230400.

The previous prime is 12627737959. The next prime is 12627738017. The reversal of 12627738000 is 83772621.

12627738000 is a `hidden beast` number, since 1 + 2 + 6 + 277 + 380 + 0 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4372557 + ... + 4375443.

It is an arithmetic number, because the mean of its divisors is an integer number (143155272).

Almost surely, 2^12627738000 is an apocalyptic number.

12627738000 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 12627738000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22904843520).

12627738000 is an abundant number, since it is smaller than the sum of its proper divisors (33181949040).

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

12627738000 is an frugal number, since it uses more digits than its factorization.

12627738000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 12627738000 in words is "twelve billion, six hundred twenty-seven million, seven hundred thirty-eight thousand".