12638332320 has 192 divisors, whose sum is σ = 40526728704. Its totient is φ = 3310018560.

The previous prime is 12638332319. The next prime is 12638332331. The reversal of 12638332320 is 2323383621.

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, 10266105 + ... + 10267335.

It is an arithmetic number, because the mean of its divisors is an integer number (211076712).

Almost surely, 2^12638332320 is an apocalyptic number.

12638332320 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 12638332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20263364352).

12638332320 is an abundant number, since it is smaller than the sum of its proper divisors (27888396384).

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

12638332320 is a wasteful number, since it uses less digits than its factorization.

12638332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 12638332320 in words is "twelve billion, six hundred thirty-eight million, three hundred thirty-two thousand, three hundred twenty".