35668080620176 has 135 divisors (see below), whose sum is σ = 71084811224817. Its totient is φ = 17337756119040.

The previous prime is 35668080620173. The next prime is 35668080620201. The reversal of 35668080620176 is 67102608086653.

The square root of 35668080620176 is 5972276.

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

It can be written as a sum of positive squares in 13 ways, for example, as 28084445874576 + 7583634745600 = 5299476^2 + 2753840^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 35668080620176.

It is not an unprimeable number, because it can be changed into a prime (35668080620173) by changing a digit.

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, 197061218806 + ... + 197061218986.

Almost surely, 2^{35668080620176} is an apocalyptic number.

35668080620176 is the 5972276-th square number.

It is an amenable number.

35668080620176 is a deficient number, since it is larger than the sum of its proper divisors (35416730604641).

35668080620176 is an frugal number, since it uses more digits than its factorization.

35668080620176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 35668080620176 in words is "thirty-five trillion, six hundred sixty-eight billion, eighty million, six hundred twenty thousand, one hundred seventy-six".