36772561633 has 8 divisors (see below), whose sum is σ = 37301373288. Its totient is φ = 36244427904.

The previous prime is 36772561607. The next prime is 36772561673. The reversal of 36772561633 is 33616527763.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21700825344 + 15071736289 = 147312^2 + 122767^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-36772561633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36772561673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59710 + ... + 277687.

It is an arithmetic number, because the mean of its divisors is an integer number (4662671661).

Almost surely, 2^36772561633 is an apocalyptic number.

It is an amenable number.

36772561633 is a deficient number, since it is larger than the sum of its proper divisors (528811655).

36772561633 is a wasteful number, since it uses less digits than its factorization.

36772561633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338963.

The product of its digits is 2857680, while the sum is 49.

The spelling of 36772561633 in words is "thirty-six billion, seven hundred seventy-two million, five hundred sixty-one thousand, six hundred thirty-three".