36559361664 has 352 divisors, whose sum is σ = 125036732640. Its totient is φ = 10430415360.

The previous prime is 36559361599. The next prime is 36559361693. The reversal of 36559361664 is 46616395563.

It is a happy number.

36559361664 is a `hidden beast` number, since 36 + 5 + 593 + 6 + 16 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 36559361664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 52907559 + ... + 52908249.

Almost surely, 2^36559361664 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 36559361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62518366320).

36559361664 is an abundant number, since it is smaller than the sum of its proper divisors (88477370976).

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

36559361664 is an frugal number, since it uses more digits than its factorization.

36559361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 703 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 36559361664 in words is "thirty-six billion, five hundred fifty-nine million, three hundred sixty-one thousand, six hundred sixty-four".