12627207657 has 24 divisors (see below), whose sum is σ = 19326012264. Its totient is φ = 7917287424.

The previous prime is 12627207641. The next prime is 12627207673. The reversal of 12627207657 is 75670272621.

12627207657 is a `hidden beast` number, since 12 + 627 + 2 + 0 + 7 + 6 + 5 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (12627207641) and next prime (12627207673).

It can be written as a sum of positive squares in 4 ways, for example, as 3453207696 + 9173999961 = 58764^2 + 95781^2 .

It is not a de Polignac number, because 12627207657 - 2⁴ = 12627207641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12627207617) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 190453 + ... + 248045.

It is an arithmetic number, because the mean of its divisors is an integer number (805250511).

Almost surely, 2^12627207657 is an apocalyptic number.

12627207657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12627207657 is a deficient number, since it is larger than the sum of its proper divisors (6698804607).

12627207657 is a wasteful number, since it uses less digits than its factorization.

12627207657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59049 (or 59046 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 12627207657 in words is "twelve billion, six hundred twenty-seven million, two hundred seven thousand, six hundred fifty-seven".