12836335680 has 560 divisors, whose sum is σ = 52577268480. Its totient is φ = 2911997952.

The previous prime is 12836335669. The next prime is 12836335693. The reversal of 12836335680 is 8653363821.

12836335680 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 633 + 5 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47718586 + ... + 47718854.

Almost surely, 2^12836335680 is an apocalyptic number.

12836335680 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 12836335680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26288634240).

12836335680 is an abundant number, since it is smaller than the sum of its proper divisors (39740932800).

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

12836335680 is a wasteful number, since it uses less digits than its factorization.

12836335680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12836335680 in words is "twelve billion, eight hundred thirty-six million, three hundred thirty-five thousand, six hundred eighty".