36205584768 has 192 divisors, whose sum is σ = 108246312720. Its totient is φ = 12045957120.

The previous prime is 36205584721. The next prime is 36205584791. The reversal of 36205584768 is 86748550263.

36205584768 is a `hidden beast` number, since 3 + 6 + 20 + 558 + 4 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×36205584768² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29268246 + ... + 29269482.

Almost surely, 2^36205584768 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 36205584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54123156360).

36205584768 is an abundant number, since it is smaller than the sum of its proper divisors (72040727952).

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

36205584768 is an equidigital number, since it uses as much as digits as its factorization.

36205584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 36205584768 in words is "thirty-six billion, two hundred five million, five hundred eighty-four thousand, seven hundred sixty-eight".