36864705235020 has 192 divisors, whose sum is σ = 112943062955520. Its totient is φ = 8929902643200.

The previous prime is 36864705234983. The next prime is 36864705235021. The reversal of 36864705235020 is 2053250746863.

It is not an unprimeable number, because it can be changed into a prime (36864705235021) 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, 13389235 + ... + 15906005.

It is an arithmetic number, because the mean of its divisors is an integer number (588245119560).

Almost surely, 2^{36864705235020} is an apocalyptic number.

36864705235020 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 36864705235020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56471531477760).

36864705235020 is an abundant number, since it is smaller than the sum of its proper divisors (76078357720500).

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

36864705235020 is a wasteful number, since it uses less digits than its factorization.

36864705235020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517096 (or 2517094 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 36864705235020 in words is "thirty-six trillion, eight hundred sixty-four billion, seven hundred five million, two hundred thirty-five thousand, twenty".