12627679680 has 1568 divisors, whose sum is σ = 60765903360. Its totient is φ = 2418647040.

The previous prime is 12627679657. The next prime is 12627679681. The reversal of 12627679680 is 8697672621.

12627679680 is a `hidden beast` number, since 1 + 2 + 627 + 6 + 7 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12627679681) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 341288622 + ... + 341288658.

Almost surely, 2^12627679680 is an apocalyptic number.

12627679680 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 12627679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30382951680).

12627679680 is an abundant number, since it is smaller than the sum of its proper divisors (48138223680).

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

12627679680 is a wasteful number, since it uses less digits than its factorization.

12627679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 12627679680 in words is "twelve billion, six hundred twenty-seven million, six hundred seventy-nine thousand, six hundred eighty".