66742668 has 36 divisors (see below), whose sum is σ = 177591960. Its totient is φ = 21076416.

The previous prime is 66742667. The next prime is 66742673. The reversal of 66742668 is 86624766.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (66742667) 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, 48105 + ... + 49472.

It is an arithmetic number, because the mean of its divisors is an integer number (4933110).

Almost surely, 2^66742668 is an apocalyptic number.

It is an amenable number.

66742668 is an abundant number, since it is smaller than the sum of its proper divisors (110849292).

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

66742668 is a wasteful number, since it uses less digits than its factorization.

66742668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97606 (or 97601 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 66742668 is about 8169.6185957485. The cubic root of 66742668 is about 405.6341596757.

The spelling of 66742668 in words is "sixty-six million, seven hundred forty-two thousand, six hundred sixty-eight".