36668317056 has 256 divisors, whose sum is σ = 117474624000. Its totient is φ = 9899753472.

The previous prime is 36668317009. The next prime is 36668317057. The reversal of 36668317056 is 65071386663.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36668317057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28446460 + ... + 28447748.

It is an arithmetic number, because the mean of its divisors is an integer number (458885250).

Almost surely, 2^36668317056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36668317056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58737312000).

36668317056 is an abundant number, since it is smaller than the sum of its proper divisors (80806306944).

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

36668317056 is a wasteful number, since it uses less digits than its factorization.

36668317056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 36668317056 in words is "thirty-six billion, six hundred sixty-eight million, three hundred seventeen thousand, fifty-six".