9668416800 has 576 divisors, whose sum is σ = 38585030400. Its totient is φ = 2052587520.

The previous prime is 9668416787. The next prime is 9668416801. The reversal of 9668416800 is 86148669.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9668416800.

It is not an unprimeable number, because it can be changed into a prime (9668416801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27703026 + ... + 27703374.

It is an arithmetic number, because the mean of its divisors is an integer number (66987900).

Almost surely, 2^9668416800 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 9668416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19292515200).

9668416800 is an abundant number, since it is smaller than the sum of its proper divisors (28916613600).

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

9668416800 is a wasteful number, since it uses less digits than its factorization.

9668416800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 9668416800 is about 98328.1078837582. The cubic root of 9668416800 is about 2130.3540595941.

The spelling of 9668416800 in words is "nine billion, six hundred sixty-eight million, four hundred sixteen thousand, eight hundred".