9673516800 has 864 divisors, whose sum is σ = 39006878400. Its totient is φ = 2335703040.

The previous prime is 9673516781. The next prime is 9673516813. The reversal of 9673516800 is 86153769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108691156 + ... + 108691244.

It is an arithmetic number, because the mean of its divisors is an integer number (45146850).

Almost surely, 2^9673516800 is an apocalyptic number.

9673516800 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 9673516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503439200).

9673516800 is an abundant number, since it is smaller than the sum of its proper divisors (29333361600).

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

9673516800 is a wasteful number, since it uses less digits than its factorization.

9673516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9673516800 is about 98354.0380462338. The cubic root of 9673516800 is about 2130.7285744061.

The spelling of 9673516800 in words is "nine billion, six hundred seventy-three million, five hundred sixteen thousand, eight hundred".