36686058799104 has 720 divisors, whose sum is σ = 128525087867904. Its totient is φ = 9930630758400.

The previous prime is 36686058799097. The next prime is 36686058799127. The reversal of 36686058799104 is 40199785068663.

36686058799104 is a `hidden beast` number, since 3 + 6 + 6 + 8 + 605 + 8 + 7 + 9 + 9 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×36686058799104² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 653644387 + ... + 653700509.

Almost surely, 2^{36686058799104} 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 36686058799104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64262543933952).

36686058799104 is an abundant number, since it is smaller than the sum of its proper divisors (91839029068800).

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

36686058799104 is a wasteful number, since it uses less digits than its factorization.

36686058799104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56212 (or 56183 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 36686058799104 in words is "thirty-six trillion, six hundred eighty-six billion, fifty-eight million, seven hundred ninety-nine thousand, one hundred four".