36243807832320 has 1728 divisors, whose sum is σ = 141191142543360. Its totient is φ = 7880175452160.

The previous prime is 36243807832313. The next prime is 36243807832361. The reversal of 36243807832320 is 2323870834263.

36243807832320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36243807832320² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20913910174 + ... + 20913911906.

It is an arithmetic number, because the mean of its divisors is an integer number (81707837120).

Almost surely, 2^{36243807832320} is an apocalyptic number.

36243807832320 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 36243807832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70595571271680).

36243807832320 is an abundant number, since it is smaller than the sum of its proper divisors (104947334711040).

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

36243807832320 is a wasteful number, since it uses less digits than its factorization.

36243807832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 36243807832320 in words is "thirty-six trillion, two hundred forty-three billion, eight hundred seven million, eight hundred thirty-two thousand, three hundred twenty".