36804562187904 has 768 divisors, whose sum is σ = 130596938035200. Its totient is φ = 9714451046400.

The previous prime is 36804562187893. The next prime is 36804562187947. The reversal of 36804562187904 is 40978126540863.

36804562187904 is a `hidden beast` number, since 3 + 6 + 80 + 456 + 2 + 18 + 7 + 90 + 4 = 666.

36804562187904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1994709879 + ... + 1994728329.

It is an arithmetic number, because the mean of its divisors is an integer number (170048096400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅36804562187904 = 73609124375808, but 3⋅36804562187904 = 110413686563712 is not.

Almost surely, 2^{36804562187904} 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 36804562187904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65298469017600).

36804562187904 is an abundant number, since it is smaller than the sum of its proper divisors (93792375847296).

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

36804562187904 is a wasteful number, since it uses less digits than its factorization.

36804562187904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18821 (or 18806 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 36804562187904 in words is "thirty-six trillion, eight hundred four billion, five hundred sixty-two million, one hundred eighty-seven thousand, nine hundred four".