9966677805 has 192 divisors, whose sum is σ = 22436144640. Its totient is φ = 4138573824.

The previous prime is 9966677803. The next prime is 9966677807. The reversal of 9966677805 is 5087766699.

It is an interprime number because it is at equal distance from previous prime (9966677803) and next prime (9966677807).

It is not a de Polignac number, because 9966677805 - 2¹ = 9966677803 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966677803) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4191777 + ... + 4194153.

It is an arithmetic number, because the mean of its divisors is an integer number (116854920).

Almost surely, 2^9966677805 is an apocalyptic number.

9966677805 is the 49917-th decagonal number.

It is an amenable number.

9966677805 is an abundant number, since it is smaller than the sum of its proper divisors (12469466835).

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

9966677805 is a wasteful number, since it uses less digits than its factorization.

9966677805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The square root of 9966677805 is about 99833.2499971828. The cubic root of 9966677805 is about 2152.0390106531.

The spelling of 9966677805 in words is "nine billion, nine hundred sixty-six million, six hundred seventy-seven thousand, eight hundred five".