12636586728 has 96 divisors (see below), whose sum is σ = 36241732800. Its totient is φ = 3966534144.

The previous prime is 12636586673. The next prime is 12636586789. The reversal of 12636586728 is 82768563621.

12636586728 is a `hidden beast` number, since 1 + 2 + 6 + 36 + 586 + 7 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200800 + ... + 256112.

It is an arithmetic number, because the mean of its divisors is an integer number (377518050).

Almost surely, 2^12636586728 is an apocalyptic number.

12636586728 is a gapful number since it is divisible by the number (18) 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 12636586728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18120866400).

12636586728 is an abundant number, since it is smaller than the sum of its proper divisors (23605146072).

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

12636586728 is a wasteful number, since it uses less digits than its factorization.

12636586728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55511 (or 55504 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 12636586728 in words is "twelve billion, six hundred thirty-six million, five hundred eighty-six thousand, seven hundred twenty-eight".