12638424600 has 192 divisors, whose sum is σ = 43692516000. Its totient is φ = 3357849600.

The previous prime is 12638424587. The next prime is 12638424637. The reversal of 12638424600 is 642483621.

12638424600 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 8 + 42 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1513236 + ... + 1521564.

Almost surely, 2^12638424600 is an apocalyptic number.

12638424600 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 12638424600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21846258000).

12638424600 is an abundant number, since it is smaller than the sum of its proper divisors (31054091400).

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

12638424600 is a wasteful number, since it uses less digits than its factorization.

12638424600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8635 (or 8620 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 12638424600 in words is "twelve billion, six hundred thirty-eight million, four hundred twenty-four thousand, six hundred".