66000042 has 32 divisors (see below), whose sum is σ = 147067200. Its totient is φ = 21939984.

The previous prime is 66000029. The next prime is 66000043. The reversal of 66000042 is 24000066.

66000042 is a `hidden beast` number, since 660 + 0 + 0 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 65999979 and 66000024.

It is not an unprimeable number, because it can be changed into a prime (66000043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21168 + ... + 24084.

It is an arithmetic number, because the mean of its divisors is an integer number (4595850).

Almost surely, 2^66000042 is an apocalyptic number.

66000042 is an abundant number, since it is smaller than the sum of its proper divisors (81067158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66000042 is a wasteful number, since it uses less digits than its factorization.

66000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 66000042 is about 8124.0409895569. The cubic root of 66000042 is about 404.1240877855.

The spelling of 66000042 in words is "sixty-six million, forty-two", and thus it is an aban number, an eban number, and an uban number.