36303516931968 has 1024 divisors, whose sum is σ = 132657315840000. Its totient is φ = 9609145344000.

The previous prime is 36303516931831. The next prime is 36303516931991. The reversal of 36303516931968 is 86913961530363.

It is a happy number.

36303516931968 is a `hidden beast` number, since 3 + 6 + 3 + 0 + 351 + 6 + 93 + 196 + 8 = 666.

It is a super-3 number, since 3×36303516931968³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10807833073 + ... + 10807836431.

It is an arithmetic number, because the mean of its divisors is an integer number (129548160000).

Almost surely, 2^{36303516931968} is an apocalyptic number.

36303516931968 is a gapful number since it is divisible by the number (38) 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 36303516931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66328657920000).

36303516931968 is an abundant number, since it is smaller than the sum of its proper divisors (96353798908032).

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

36303516931968 is a wasteful number, since it uses less digits than its factorization.

36303516931968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 36303516931968 in words is "thirty-six trillion, three hundred three billion, five hundred sixteen million, nine hundred thirty-one thousand, nine hundred sixty-eight".