36820566144 has 256 divisors, whose sum is σ = 110383257600. Its totient is φ = 12082037760.

The previous prime is 36820566121. The next prime is 36820566151. The reversal of 36820566144 is 44166502863.

36820566144 is a `hidden beast` number, since 3 + 6 + 8 + 20 + 5 + 6 + 614 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 36820566144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75606669 + ... + 75607155.

It is an arithmetic number, because the mean of its divisors is an integer number (431184600).

Almost surely, 2^36820566144 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 36820566144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55191628800).

36820566144 is an abundant number, since it is smaller than the sum of its proper divisors (73562691456).

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

36820566144 is a wasteful number, since it uses less digits than its factorization.

36820566144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 36820566144 in words is "thirty-six billion, eight hundred twenty million, five hundred sixty-six thousand, one hundred forty-four".