36727566572763 has 24 divisors (see below), whose sum is σ = 59437896441456. Its totient is φ = 21657533112000.

The previous prime is 36727566572707. The next prime is 36727566572771.

36727566572763 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 7 + 566 + 57 + 2 + 7 + 6 + 3 = 666.

36727566572763 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 36727566572763 - 2¹⁰ = 36727566571739 is a prime.

It is a super-3 number, since 3×36727566572763³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36727566572691 and 36727566572700.

It is not an unprimeable number, because it can be changed into a prime (36727566572063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5013314188 + ... + 5013321513.

It is an arithmetic number, because the mean of its divisors is an integer number (2476579018394).

Almost surely, 2^{36727566572763} is an apocalyptic number.

36727566572763 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

36727566572763 is a deficient number, since it is larger than the sum of its proper divisors (22710329868693).

36727566572763 is a wasteful number, since it uses less digits than its factorization.

36727566572763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10026635755 (or 10026635752 counting only the distinct ones).

The product of its digits is 2800526400, while the sum is 72.

The spelling of 36727566572763 in words is "thirty-six trillion, seven hundred twenty-seven billion, five hundred sixty-six million, five hundred seventy-two thousand, seven hundred sixty-three".