12689664000 has 768 divisors, whose sum is σ = 48080148480. Its totient is φ = 2949120000.

The previous prime is 12689663993. The next prime is 12689664017. The reversal of 12689664000 is 46698621.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×12689664000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309503980 + ... + 309504020.

It is an arithmetic number, because the mean of its divisors is an integer number (62604360).

Almost surely, 2^12689664000 is an apocalyptic number.

12689664000 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 12689664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24040074240).

12689664000 is an abundant number, since it is smaller than the sum of its proper divisors (35390484480).

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

12689664000 is a wasteful number, since it uses less digits than its factorization.

12689664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 12689664000 in words is "twelve billion, six hundred eighty-nine million, six hundred sixty-four thousand".