9671736000 has 224 divisors, whose sum is σ = 32718329280. Its totient is φ = 2515968000.

The previous prime is 9671735987. The next prime is 9671736037. The reversal of 9671736000 is 6371769.

It is a self number, because there is not a number n which added to its sum of digits gives 9671736000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979086 + ... + 988914.

It is an arithmetic number, because the mean of its divisors is an integer number (146063970).

Almost surely, 2^9671736000 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 9671736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16359164640).

9671736000 is an abundant number, since it is smaller than the sum of its proper divisors (23046593280).

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

9671736000 is a wasteful number, since it uses less digits than its factorization.

9671736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9900 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 9671736000 is about 98344.9846204676. The cubic root of 9671736000 is about 2130.5978176060.

The spelling of 9671736000 in words is "nine billion, six hundred seventy-one million, seven hundred thirty-six thousand".