36561681728 has 336 divisors, whose sum is σ = 92529672192. Its totient is φ = 14167296000.

The previous prime is 36561681727. The next prime is 36561681731. The reversal of 36561681728 is 82718616563.

It is a self number, because there is not a number n which added to its sum of digits gives 36561681728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36561681727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84829673 + ... + 84830103.

Almost surely, 2^36561681728 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 36561681728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46264836096).

36561681728 is an abundant number, since it is smaller than the sum of its proper divisors (55967990464).

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

36561681728 is a wasteful number, since it uses less digits than its factorization.

36561681728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 511 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 53.

The spelling of 36561681728 in words is "thirty-six billion, five hundred sixty-one million, six hundred eighty-one thousand, seven hundred twenty-eight".