36564020839200 has 576 divisors, whose sum is σ = 127155381534720. Its totient is φ = 9105922560000.

The previous prime is 36564020839193. The next prime is 36564020839207. The reversal of 36564020839200 is 293802046563.

It is an interprime number because it is at equal distance from previous prime (36564020839193) and next prime (36564020839207).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36564020839200.

It is not an unprimeable number, because it can be changed into a prime (36564020839207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6833116525 + ... + 6833121875.

It is an arithmetic number, because the mean of its divisors is an integer number (220755870720).

Almost surely, 2^{36564020839200} is an apocalyptic number.

36564020839200 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 36564020839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63577690767360).

36564020839200 is an abundant number, since it is smaller than the sum of its proper divisors (90591360695520).

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

36564020839200 is a wasteful number, since it uses less digits than its factorization.

36564020839200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8601 (or 8588 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 36564020839200 in words is "thirty-six trillion, five hundred sixty-four billion, twenty million, eight hundred thirty-nine thousand, two hundred".