36045680256 has 96 divisors (see below), whose sum is σ = 103815550020. Its totient is φ = 12004761600.

The previous prime is 36045680243. The next prime is 36045680267. The reversal of 36045680256 is 65208654063.

36045680256 is a `hidden beast` number, since 3 + 60 + 4 + 568 + 0 + 25 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34819560000 + 1226120256 = 186600^2 + 35016^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1370526 + ... + 1396578.

Almost surely, 2^36045680256 is an apocalyptic number.

36045680256 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36045680256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51907775010).

36045680256 is an abundant number, since it is smaller than the sum of its proper divisors (67769869764).

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

36045680256 is a wasteful number, since it uses less digits than its factorization.

36045680256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27274 (or 27259 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 36045680256 in words is "thirty-six billion, forty-five million, six hundred eighty thousand, two hundred fifty-six".