66746601 has 24 divisors (see below), whose sum is σ = 102895520. Its totient is φ = 41570496.

The previous prime is 66746593. The next prime is 66746609. The reversal of 66746601 is 10664766.

66746601 is a `hidden beast` number, since 6 + 6 + 7 + 46 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (66746593) and next prime (66746609).

It is not a de Polignac number, because 66746601 - 2³ = 66746593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66746609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9810 + ... + 15156.

Almost surely, 2^66746601 is an apocalyptic number.

It is an amenable number.

66746601 is a deficient number, since it is larger than the sum of its proper divisors (36148919).

66746601 is a wasteful number, since it uses less digits than its factorization.

66746601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5442 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66746601 is about 8169.8593011141. The cubic root of 66746601 is about 405.6421272315.

The spelling of 66746601 in words is "sixty-six million, seven hundred forty-six thousand, six hundred one".