12640503006 has 64 divisors (see below), whose sum is σ = 29244283200. Its totient is φ = 4042217088.

The previous prime is 12640502999. The next prime is 12640503019. The reversal of 12640503006 is 60030504621.

12640503006 is a `hidden beast` number, since 12 + 640 + 5 + 0 + 3 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220156 + ... + 271568.

It is an arithmetic number, because the mean of its divisors is an integer number (456941925).

Almost surely, 2^12640503006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12640503006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14622141600).

12640503006 is an abundant number, since it is smaller than the sum of its proper divisors (16603780194).

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

12640503006 is a wasteful number, since it uses less digits than its factorization.

12640503006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51610 (or 51604 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 12640503006 in words is "twelve billion, six hundred forty million, five hundred three thousand, six".