36066567744 has 189 divisors, whose sum is σ = 106513091139. Its totient is φ = 11668193280.

The previous prime is 36066567701. The next prime is 36066567799. The reversal of 36066567744 is 44776566063.

The square root of 36066567744 is 189912.

It is a perfect power (a square), and thus also a powerful number.

36066567744 is a `hidden beast` number, since 3 + 6 + 0 + 6 + 6 + 567 + 74 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19813377600 + 16253190144 = 140760^2 + 127488^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 186873312 + ... + 186873504.

Almost surely, 2^36066567744 is an apocalyptic number.

36066567744 is the 189912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36066567744

36066567744 is an abundant number, since it is smaller than the sum of its proper divisors (70446523395).

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

36066567744 is an equidigital number, since it uses as much as digits as its factorization.

36066567744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 36066567744 in words is "thirty-six billion, sixty-six million, five hundred sixty-seven thousand, seven hundred forty-four".