36786056752800 has 756 divisors, whose sum is σ = 135916545960090. Its totient is φ = 9717787883520.

The previous prime is 36786056752799. The next prime is 36786056752811. The reversal of 36786056752800 is 825765068763.

It is a happy number.

36786056752800 is a `hidden beast` number, since 3 + 6 + 7 + 8 + 60 + 567 + 5 + 2 + 8 + 0 + 0 = 666.

36786056752800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 295227049104 + 36490829703696 = 543348^2 + 6040764^2 .

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 125 ways as a sum of consecutive naturals, for example, 6928996546 + ... + 6929001854.

Almost surely, 2^{36786056752800} is an apocalyptic number.

36786056752800 is a gapful number since it is divisible by the number (30) 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 36786056752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67958272980045).

36786056752800 is an abundant number, since it is smaller than the sum of its proper divisors (99130489207290).

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

36786056752800 is an equidigital number, since it uses as much as digits as its factorization.

36786056752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5565 (or 5428 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 36786056752800 in words is "thirty-six trillion, seven hundred eighty-six billion, fifty-six million, seven hundred fifty-two thousand, eight hundred".