9680366000 has 80 divisors (see below), whose sum is σ = 23804146080. Its totient is φ = 3806470400.

The previous prime is 9680365991. The next prime is 9680366009. The reversal of 9680366000 is 6630869.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9680365991) and next prime (9680366009).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (9680366009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76982 + ... + 159018.

It is an arithmetic number, because the mean of its divisors is an integer number (297551826).

Almost surely, 2^9680366000 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 9680366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902073040).

9680366000 is an abundant number, since it is smaller than the sum of its proper divisors (14123780080).

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

9680366000 is a wasteful number, since it uses less digits than its factorization.

9680366000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82119 (or 82103 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 9680366000 is about 98388.8509944089. The cubic root of 9680366000 is about 2131.2313334164.

Adding to 9680366000 its reverse (6630869), we get a palindrome (9686996869).

The spelling of 9680366000 in words is "nine billion, six hundred eighty million, three hundred sixty-six thousand".