12642906500 has 144 divisors (see below), whose sum is σ = 32564815920. Its totient is φ = 4274726400.

The previous prime is 12642906487. The next prime is 12642906503. The reversal of 12642906500 is 560924621.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4604708164 + 8038198336 = 67858^2 + 89656^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (12642906503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1784966 + ... + 1792034.

It is an arithmetic number, because the mean of its divisors is an integer number (226144555).

Almost surely, 2^12642906500 is an apocalyptic number.

12642906500 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 12642906500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282407960).

12642906500 is an abundant number, since it is smaller than the sum of its proper divisors (19921909420).

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

12642906500 is a wasteful number, since it uses less digits than its factorization.

12642906500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7175 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 12642906500 in words is "twelve billion, six hundred forty-two million, nine hundred six thousand, five hundred".