36505106568 has 256 divisors, whose sum is σ = 118294118400. Its totient is φ = 10343495232.

The previous prime is 36505106507. The next prime is 36505106629. The reversal of 36505106568 is 86560150563.

36505106568 is a `hidden beast` number, since 36 + 5 + 0 + 51 + 0 + 6 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (36505106507) and next prime (36505106629).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15552771 + ... + 15555117.

It is an arithmetic number, because the mean of its divisors is an integer number (462086400).

Almost surely, 2^36505106568 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 36505106568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59147059200).

36505106568 is an abundant number, since it is smaller than the sum of its proper divisors (81789011832).

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

36505106568 is a wasteful number, since it uses less digits than its factorization.

36505106568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 36505106568 in words is "thirty-six billion, five hundred five million, one hundred six thousand, five hundred sixty-eight".