12641629767 has 12 divisors (see below), whose sum is σ = 18251821224. Its totient is φ = 7779464160.

The previous prime is 12641629739. The next prime is 12641629769. The reversal of 12641629767 is 76792614621.

It is a happy number.

It is not a de Polignac number, because 12641629767 - 2¹² = 12641625671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12641629769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12466584 + ... + 12467597.

It is an arithmetic number, because the mean of its divisors is an integer number (1520985102).

Almost surely, 2^12641629767 is an apocalyptic number.

12641629767 is a deficient number, since it is larger than the sum of its proper divisors (5610191457).

12641629767 is a wasteful number, since it uses less digits than its factorization.

12641629767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24934210 (or 24934197 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The spelling of 12641629767 in words is "twelve billion, six hundred forty-one million, six hundred twenty-nine thousand, seven hundred sixty-seven".