9966583809 has 48 divisors (see below), whose sum is σ = 17931967872. Its totient is φ = 5193725184.

The previous prime is 9966583799. The next prime is 9966583843. The reversal of 9966583809 is 9083856699.

It is not a de Polignac number, because 9966583809 - 2⁵ = 9966583777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (9966583309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5332 + ... + 141285.

It is an arithmetic number, because the mean of its divisors is an integer number (373582664).

It is a Proth number, since it is equal to 76039 ⋅ 2¹⁷ + 1 and 76039 < 2¹⁷.

Almost surely, 2^9966583809 is an apocalyptic number.

It is an amenable number.

9966583809 is a deficient number, since it is larger than the sum of its proper divisors (7965384063).

9966583809 is a wasteful number, since it uses less digits than its factorization.

9966583809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146726 (or 146723 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The square root of 9966583809 is about 99832.7792310722. The cubic root of 9966583809 is about 2152.0322453197.

The spelling of 9966583809 in words is "nine billion, nine hundred sixty-six million, five hundred eighty-three thousand, eight hundred nine".