12642624621 has 24 divisors (see below), whose sum is σ = 20086372800. Its totient is φ = 7662189480.

The previous prime is 12642624593. The next prime is 12642624671.

12642624621 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 2 + 6 + 24 + 621 = 666.

12642624621 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12642624621 - 2¹³ = 12642616429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642624671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515721 + ... + 539678.

It is an arithmetic number, because the mean of its divisors is an integer number (836932200).

Almost surely, 2^12642624621 is an apocalyptic number.

12642624621 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12642624621 is a deficient number, since it is larger than the sum of its proper divisors (7443748179).

12642624621 is a wasteful number, since it uses less digits than its factorization.

12642624621 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055438 (or 1055413 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 12642624621 in words is "twelve billion, six hundred forty-two million, six hundred twenty-four thousand, six hundred twenty-one".