36566853082704 has 320 divisors, whose sum is σ = 121917263462400. Its totient is φ = 10278034624512.

The previous prime is 36566853082703. The next prime is 36566853082717. The reversal of 36566853082704 is 40728035866563.

36566853082704 is a `hidden beast` number, since 3 + 6 + 56 + 6 + 8 + 5 + 308 + 270 + 4 = 666.

It is a super-3 number, since 3×36566853082704³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36566853082703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48612537 + ... + 49359015.

It is an arithmetic number, because the mean of its divisors is an integer number (380991448320).

Almost surely, 2^{36566853082704} 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 36566853082704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60958631731200).

36566853082704 is an abundant number, since it is smaller than the sum of its proper divisors (85350410379696).

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

36566853082704 is a wasteful number, since it uses less digits than its factorization.

36566853082704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746767 (or 746755 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 36566853082704 in words is "thirty-six trillion, five hundred sixty-six billion, eight hundred fifty-three million, eighty-two thousand, seven hundred four".