36265366368 has 576 divisors, whose sum is σ = 134775373824. Its totient is φ = 8975232000.

The previous prime is 36265366363. The next prime is 36265366391. The reversal of 36265366368 is 86366356263.

36265366368 is a `hidden beast` number, since 3 + 626 + 5 + 3 + 6 + 6 + 3 + 6 + 8 = 666.

It is a super-3 number, since 3×36265366368³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36265366363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48809005 + ... + 48809747.

It is an arithmetic number, because the mean of its divisors is an integer number (233985024).

Almost surely, 2^36265366368 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 36265366368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67387686912).

36265366368 is an abundant number, since it is smaller than the sum of its proper divisors (98510007456).

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

36265366368 is a wasteful number, since it uses less digits than its factorization.

36265366368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 868 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 54.

The spelling of 36265366368 in words is "thirty-six billion, two hundred sixty-five million, three hundred sixty-six thousand, three hundred sixty-eight".