9666035712 has 228 divisors, whose sum is σ = 29689324236. Its totient is φ = 3019898880.

The previous prime is 9666035711. The next prime is 9666035713. The reversal of 9666035712 is 2175306669.

It is an interprime number because it is at equal distance from previous prime (9666035711) and next prime (9666035713).

It can be written as a sum of positive squares in 2 ways, for example, as 7398752256 + 2267283456 = 86016^2 + 47616^2 .

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (9666035711) 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, 40107912 + ... + 40108152.

Almost surely, 2^9666035712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9666035712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844662118).

9666035712 is an abundant number, since it is smaller than the sum of its proper divisors (20023288524).

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

9666035712 is an equidigital number, since it uses as much as digits as its factorization.

9666035712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 9666035712 is about 98315.9992676675. Note that the first 3 decimals coincide. The cubic root of 9666035712 is about 2130.1791610192.

It can be divided in two parts, 966603 and 5712, that added together give a triangular number (972315 = T₁₃₉₄).

The spelling of 9666035712 in words is "nine billion, six hundred sixty-six million, thirty-five thousand, seven hundred twelve".