36736569544900 has 81 divisors (see below), whose sum is σ = 81100309990791. Its totient is φ = 14444160161280.

The previous prime is 36736569544877. The next prime is 36736569544933. The reversal of 36736569544900 is 944596563763.

The square root of 36736569544900 is 6061070.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6494577014916 + 30241992529984 = 2548446^2 + 5499272^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3576026164 + ... + 3576036436.

Almost surely, 2^{36736569544900} is an apocalyptic number.

36736569544900 is the 6061070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36736569544900

36736569544900 is an abundant number, since it is smaller than the sum of its proper divisors (44363740445891).

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

36736569544900 is an frugal number, since it uses more digits than its factorization.

36736569544900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20678 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 67.

The spelling of 36736569544900 in words is "thirty-six trillion, seven hundred thirty-six billion, five hundred sixty-nine million, five hundred forty-four thousand, nine hundred".