12643290000 has 900 divisors, whose sum is σ = 51572529008. Its totient is φ = 2993760000.

The previous prime is 12643289959. The next prime is 12643290001. The reversal of 12643290000 is 9234621.

12643290000 is a `hidden beast` number, since 12 + 643 + 2 + 9 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is not an unprimeable number, because it can be changed into a prime (12643290001) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 294029979 + ... + 294030021.

Almost surely, 2^12643290000 is an apocalyptic number.

12643290000 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 12643290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25786264504).

12643290000 is an abundant number, since it is smaller than the sum of its proper divisors (38929239008).

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

12643290000 is an equidigital number, since it uses as much as digits as its factorization.

12643290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 12643290000 in words is "twelve billion, six hundred forty-three million, two hundred ninety thousand".