36366336000 has 360 divisors, whose sum is σ = 131175213624. Its totient is φ = 9692774400.

The previous prime is 36366335959. The next prime is 36366336007. The reversal of 36366336000 is 63366363.

It can be written as a sum of positive squares in 4 ways, for example, as 4619649024 + 31746686976 = 67968^2 + 178176^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36366336007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18431014 + ... + 18432986.

Almost surely, 2^36366336000 is an apocalyptic number.

36366336000 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 36366336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65587606812).

36366336000 is an abundant number, since it is smaller than the sum of its proper divisors (94808877624).

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

36366336000 is an equidigital number, since it uses as much as digits as its factorization.

36366336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The spelling of 36366336000 in words is "thirty-six billion, three hundred sixty-six million, three hundred thirty-six thousand".