12642624500 has 144 divisors (see below), whose sum is σ = 30665129040. Its totient is φ = 4549600000.

The previous prime is 12642624457. The next prime is 12642624539. The reversal of 12642624500 is 542624621.

It can be written as a sum of positive squares in 8 ways, for example, as 2924213776 + 9718410724 = 54076^2 + 98582^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6109466 + ... + 6111534.

It is an arithmetic number, because the mean of its divisors is an integer number (212952285).

Almost surely, 2^12642624500 is an apocalyptic number.

12642624500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12642624500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15332564520).

12642624500 is an abundant number, since it is smaller than the sum of its proper divisors (18022504540).

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

12642624500 is a wasteful number, since it uses less digits than its factorization.

12642624500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 12642624500 in words is "twelve billion, six hundred forty-two million, six hundred twenty-four thousand, five hundred".