9682732800 has 648 divisors, whose sum is σ = 38033353904. Its totient is φ = 2335703040.

The previous prime is 9682732793. The next prime is 9682732811. The reversal of 9682732800 is 82372869.

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 71 ways as a sum of consecutive naturals, for example, 50169504 + ... + 50169696.

Almost surely, 2^9682732800 is an apocalyptic number.

9682732800 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 9682732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19016676952).

9682732800 is an abundant number, since it is smaller than the sum of its proper divisors (28350621104).

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

9682732800 is a wasteful number, since it uses less digits than its factorization.

9682732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9682732800 is about 98400.8780448630. The cubic root of 9682732800 is about 2131.4050109847.

The spelling of 9682732800 in words is "nine billion, six hundred eighty-two million, seven hundred thirty-two thousand, eight hundred".