36366743446272 has 720 divisors, whose sum is σ = 113446640305152. Its totient is φ = 11577277071360.

The previous prime is 36366743446247. The next prime is 36366743446289. The reversal of 36366743446272 is 27264434766363.

36366743446272 is a `hidden beast` number, since 3 + 6 + 3 + 6 + 6 + 74 + 34 + 462 + 72 = 666.

36366743446272 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9512617353 + ... + 9512621175.

Almost surely, 2^{36366743446272} is an apocalyptic number.

36366743446272 is a gapful number since it is divisible by the number (32) 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 36366743446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56723320152576).

36366743446272 is an abundant number, since it is smaller than the sum of its proper divisors (77079896858880).

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

36366743446272 is a wasteful number, since it uses less digits than its factorization.

36366743446272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4103 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 63.

The spelling of 36366743446272 in words is "thirty-six trillion, three hundred sixty-six billion, seven hundred forty-three million, four hundred forty-six thousand, two hundred seventy-two".