66075323073201 has 36 divisors (see below), whose sum is σ = 105229746879348. Its totient is φ = 39716115348672.

The previous prime is 66075323073107. The next prime is 66075323073211. The reversal of 66075323073201 is 10237032357066.

66075323073201 is a `hidden beast` number, since 6 + 60 + 7 + 532 + 30 + 7 + 3 + 20 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12470609390625 + 53604713682576 = 3531375^2 + 7321524^2 .

It is not a de Polignac number, because 66075323073201 - 2¹⁴ = 66075323056817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66075323073211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 152500366 + ... + 152933031.

Almost surely, 2^{66075323073201} is an apocalyptic number.

It is an amenable number.

66075323073201 is a deficient number, since it is larger than the sum of its proper divisors (39154423806147).

66075323073201 is a wasteful number, since it uses less digits than its factorization.

66075323073201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305433502 (or 305433456 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 66075323073201 in words is "sixty-six trillion, seventy-five billion, three hundred twenty-three million, seventy-three thousand, two hundred one".