36265884979968 has 864 divisors, whose sum is σ = 125881655800320. Its totient is φ = 10268424069120.

The previous prime is 36265884979939. The next prime is 36265884980011. The reversal of 36265884979968 is 86997948856263.

36265884979968 is a `hidden beast` number, since 3 + 6 + 2 + 6 + 58 + 8 + 497 + 9 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×36265884979968² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23812136455 + ... + 23812137977.

It is an arithmetic number, because the mean of its divisors is an integer number (145696360880).

Almost surely, 2^{36265884979968} 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 36265884979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62940827900160).

36265884979968 is an abundant number, since it is smaller than the sum of its proper divisors (89615770820352).

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

36265884979968 is a wasteful number, since it uses less digits than its factorization.

36265884979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2123 counting only the distinct ones).

The product of its digits is 67722117120, while the sum is 90.

The spelling of 36265884979968 in words is "thirty-six trillion, two hundred sixty-five billion, eight hundred eighty-four million, nine hundred seventy-nine thousand, nine hundred sixty-eight".