36905905728 has 252 divisors, whose sum is σ = 111200139804. Its totient is φ = 11699251200.

The previous prime is 36905905721. The next prime is 36905905733. The reversal of 36905905728 is 82750950963.

36905905728 is a `hidden beast` number, since 3 + 69 + 0 + 5 + 9 + 0 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19564176384 + 17341729344 = 139872^2 + 131688^2 .

It is not an unprimeable number, because it can be changed into a prime (36905905721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33765150 + ... + 33766242.

Almost surely, 2^36905905728 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 36905905728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55600069902).

36905905728 is an abundant number, since it is smaller than the sum of its proper divisors (74294234076).

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

36905905728 is a wasteful number, since it uses less digits than its factorization.

36905905728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 36905905728 in words is "thirty-six billion, nine hundred five million, nine hundred five thousand, seven hundred twenty-eight".