12642006641 has 16 divisors (see below), whose sum is σ = 14076979200. Its totient is φ = 11256094800.

The previous prime is 12642006607. The next prime is 12642006653. The reversal of 12642006641 is 14660024621.

It is a cyclic number.

It is not a de Polignac number, because 12642006641 - 2²² = 12637812337 is a prime.

It is a super-2 number, since 2×12642006641² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12642006598 and 12642006607.

It is not an unprimeable number, because it can be changed into a prime (12642006661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139940 + ... + 211818.

It is an arithmetic number, because the mean of its divisors is an integer number (879811200).

Almost surely, 2^12642006641 is an apocalyptic number.

12642006641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12642006641 is a deficient number, since it is larger than the sum of its proper divisors (1434972559).

12642006641 is a wasteful number, since it uses less digits than its factorization.

12642006641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72220.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 12642006641 in words is "twelve billion, six hundred forty-two million, six thousand, six hundred forty-one".