12635790336 has 132 divisors (see below), whose sum is σ = 39292525272. Its totient is φ = 3887898624.

The previous prime is 12635790319. The next prime is 12635790359. The reversal of 12635790336 is 63309753621.

12635790336 is a `hidden beast` number, since 1 + 2 + 635 + 7 + 9 + 0 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12635790291 and 12635790300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67075 + ... + 172541.

It is an arithmetic number, because the mean of its divisors is an integer number (297670646).

Almost surely, 2^12635790336 is an apocalyptic number.

12635790336 is a gapful number since it is divisible by the number (16) 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 12635790336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19646262636).

12635790336 is an abundant number, since it is smaller than the sum of its proper divisors (26656734936).

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

12635790336 is a wasteful number, since it uses less digits than its factorization.

12635790336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105506 (or 105485 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 12635790336 in words is "twelve billion, six hundred thirty-five million, seven hundred ninety thousand, three hundred thirty-six".