9666485400 has 192 divisors, whose sum is σ = 35205246720. Its totient is φ = 2163110400.

The previous prime is 9666485399. The next prime is 9666485443. The reversal of 9666485400 is 45846669.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9666485400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29469 + ... + 142131.

It is an arithmetic number, because the mean of its divisors is an integer number (183360660).

Almost surely, 2^9666485400 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 9666485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17602623360).

9666485400 is an abundant number, since it is smaller than the sum of its proper divisors (25538761320).

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

9666485400 is a wasteful number, since it uses less digits than its factorization.

9666485400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112706 (or 112697 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 9666485400 is about 98318.2861933628. The cubic root of 9666485400 is about 2130.2121942495.

The spelling of 9666485400 in words is "nine billion, six hundred sixty-six million, four hundred eighty-five thousand, four hundred".