36726815232 has 400 divisors, whose sum is σ = 117349254792. Its totient is φ = 11395399680.

The previous prime is 36726815227. The next prime is 36726815233. The reversal of 36726815232 is 23251862763.

36726815232 is a `hidden beast` number, since 3 + 67 + 2 + 68 + 1 + 523 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22817915136 + 13908900096 = 151056^2 + 117936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36726815233) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 79667482 + ... + 79667942.

Almost surely, 2^36726815232 is an apocalyptic number.

36726815232 is a gapful number since it is divisible by the number (32) 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 36726815232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58674627396).

36726815232 is an abundant number, since it is smaller than the sum of its proper divisors (80622439560).

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

36726815232 is a wasteful number, since it uses less digits than its factorization.

36726815232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 596 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 36726815232 in words is "thirty-six billion, seven hundred twenty-six million, eight hundred fifteen thousand, two hundred thirty-two".