66585663 has 12 divisors (see below), whose sum is σ = 96771480. Its totient is φ = 44117136.

The previous prime is 66585661. The next prime is 66585677. The reversal of 66585663 is 36658566.

66585663 is a `hidden beast` number, since 6 + 6 + 585 + 6 + 63 = 666.

It is not a de Polignac number, because 66585663 - 2¹ = 66585661 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66585661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21228 + ... + 24161.

It is an arithmetic number, because the mean of its divisors is an integer number (8064290).

Almost surely, 2^66585663 is an apocalyptic number.

66585663 is a deficient number, since it is larger than the sum of its proper divisors (30185817).

66585663 is a wasteful number, since it uses less digits than its factorization.

66585663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45558 (or 45555 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 66585663 is about 8160.0038602932. The cubic root of 66585663 is about 405.3158395907.

It can be divided in two parts, 6658 and 5663, that added together give a palindrome (12321).

The spelling of 66585663 in words is "sixty-six million, five hundred eighty-five thousand, six hundred sixty-three".