36327733333056 has 1568 divisors, whose sum is σ = 124854742172160. Its totient is φ = 10384057958400.

The previous prime is 36327733333049. The next prime is 36327733333091. The reversal of 36327733333056 is 65033333772363.

It is a happy number.

36327733333056 is a `hidden beast` number, since 3 + 6 + 3 + 277 + 3 + 33 + 330 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36327733332993 and 36327733333011.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 107797428120 + ... + 107797428456.

Almost surely, 2^{36327733333056} is an apocalyptic number.

36327733333056 is a gapful number since it is divisible by the number (36) 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 36327733333056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62427371086080).

36327733333056 is an abundant number, since it is smaller than the sum of its proper divisors (88527008839104).

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

36327733333056 is a wasteful number, since it uses less digits than its factorization.

36327733333056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 54.

The spelling of 36327733333056 in words is "thirty-six trillion, three hundred twenty-seven billion, seven hundred thirty-three million, three hundred thirty-three thousand, fifty-six".