12642604506 has 96 divisors (see below), whose sum is σ = 33174655488. Its totient is φ = 3396856320.

The previous prime is 12642604493. The next prime is 12642604517. The reversal of 12642604506 is 60540624621.

12642604506 is a `hidden beast` number, since 1 + 2 + 6 + 42 + 604 + 5 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4417516 + ... + 4420376.

It is an arithmetic number, because the mean of its divisors is an integer number (345569328).

Almost surely, 2^12642604506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12642604506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587327744).

12642604506 is an abundant number, since it is smaller than the sum of its proper divisors (20532050982).

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

12642604506 is a wasteful number, since it uses less digits than its factorization.

12642604506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4956 (or 4953 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12642604506 in words is "twelve billion, six hundred forty-two million, six hundred four thousand, five hundred six".