9682243200 has 576 divisors, whose sum is σ = 41237539200. Its totient is φ = 2212116480.

The previous prime is 9682243157. The next prime is 9682243211. The reversal of 9682243200 is 23422869.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) 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 (36).

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, 4232457 + ... + 4234743.

It is an arithmetic number, because the mean of its divisors is an integer number (71592950).

Almost surely, 2^9682243200 is an apocalyptic number.

9682243200 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 9682243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20618769600).

9682243200 is an abundant number, since it is smaller than the sum of its proper divisors (31555296000).

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

9682243200 is a wasteful number, since it uses less digits than its factorization.

9682243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9682243200 is about 98398.3902307350. The cubic root of 9682243200 is about 2131.3690860895.

The spelling of 9682243200 in words is "nine billion, six hundred eighty-two million, two hundred forty-three thousand, two hundred".