36685736568 has 320 divisors, whose sum is σ = 118256513760. Its totient is φ = 10525261824.

The previous prime is 36685736539. The next prime is 36685736587. The reversal of 36685736568 is 86563758663.

36685736568 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 573 + 6 + 56 + 8 = 666.

It is a super-3 number, since 3×36685736568³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16181371 + ... + 16183637.

Almost surely, 2^36685736568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36685736568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59128256880).

36685736568 is an abundant number, since it is smaller than the sum of its proper divisors (81570777192).

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

36685736568 is a wasteful number, since it uses less digits than its factorization.

36685736568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2415 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 36685736568 in words is "thirty-six billion, six hundred eighty-five million, seven hundred thirty-six thousand, five hundred sixty-eight".