9682456800 has 144 divisors (see below), whose sum is σ = 32033543472. Its totient is φ = 2539622400.

The previous prime is 9682456789. The next prime is 9682456813. The reversal of 9682456800 is 86542869.

It is a happy number.

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 9682456800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113332 + ... + 179468.

It is an arithmetic number, because the mean of its divisors is an integer number (222455163).

Almost surely, 2^9682456800 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 9682456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016771736).

9682456800 is an abundant number, since it is smaller than the sum of its proper divisors (22351086672).

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

9682456800 is a wasteful number, since it uses less digits than its factorization.

9682456800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66221 (or 66208 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 9682456800 is about 98399.4756083588. The cubic root of 9682456800 is about 2131.3847593545.

The spelling of 9682456800 in words is "nine billion, six hundred eighty-two million, four hundred fifty-six thousand, eight hundred".