36617643404160 has 1024 divisors, whose sum is σ = 151905523875840. Its totient is φ = 7294294425600.

The previous prime is 36617643404143. The next prime is 36617643404161. The reversal of 36617643404160 is 6140434671663.

It is a super-3 number, since 3×36617643404160³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36617643404161) 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 127 ways as a sum of consecutive naturals, for example, 221986674 + ... + 222151566.

It is an arithmetic number, because the mean of its divisors is an integer number (148345238160).

Almost surely, 2^{36617643404160} is an apocalyptic number.

36617643404160 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 36617643404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75952761937920).

36617643404160 is an abundant number, since it is smaller than the sum of its proper divisors (115287880471680).

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

36617643404160 is a wasteful number, since it uses less digits than its factorization.

36617643404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165007 (or 164995 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 36617643404160 in words is "thirty-six trillion, six hundred seventeen billion, six hundred forty-three million, four hundred four thousand, one hundred sixty".