9666720000 has 810 divisors, whose sum is σ = 40810247478. Its totient is φ = 2193408000.

The previous prime is 9666719983. The next prime is 9666720031. The reversal of 9666720000 is 276669.

It can be written as a sum of positive squares in 5 ways, for example, as 3378864384 + 6287855616 = 58128^2 + 79296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 70559932 + ... + 70560068.

Almost surely, 2^9666720000 is an apocalyptic number.

9666720000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9666720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20405123739).

9666720000 is an abundant number, since it is smaller than the sum of its proper divisors (31143527478).

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

9666720000 is a wasteful number, since it uses less digits than its factorization.

9666720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9666720000 is about 98319.4792500449. The cubic root of 9666720000 is about 2130.2294271153.

Adding to 9666720000 its reverse (276669), we get a palindrome (9666996669).

The spelling of 9666720000 in words is "nine billion, six hundred sixty-six million, seven hundred twenty thousand".