66475793241 has 81 divisors (see below), whose sum is σ = 114477001821. Its totient is φ = 37127376000.

The previous prime is 66475793239. The next prime is 66475793269. The reversal of 66475793241 is 14239757466.

The square root of 66475793241 is 257829.

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

66475793241 is a `hidden beast` number, since 6 + 6 + 47 + 579 + 3 + 24 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17015625 + 66458777616 = 4125^2 + 257796^2 .

It is not a de Polignac number, because 66475793241 - 2¹ = 66475793239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (66475793291) 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 80 ways as a sum of consecutive naturals, for example, 110608341 + ... + 110608941.

Almost surely, 2^66475793241 is an apocalyptic number.

66475793241 is the 257829-th square number.

66475793241 is the 128915-th centered octagonal number.

It is an amenable number.

66475793241 is a deficient number, since it is larger than the sum of its proper divisors (48001208580).

66475793241 is a wasteful number, since it uses less digits than its factorization.

66475793241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 628 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 66475793241 in words is "sixty-six billion, four hundred seventy-five million, seven hundred ninety-three thousand, two hundred forty-one".