9680985664 has 105 divisors (see below), whose sum is σ = 22500799931. Its totient is φ = 4132464000.

The previous prime is 9680985661. The next prime is 9680985703. The reversal of 9680985664 is 4665890869.

The square root of 9680985664 is 98392.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9680985661) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38569539 + ... + 38569789.

Almost surely, 2^9680985664 is an apocalyptic number.

9680985664 is the 98392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9680985664

9680985664 is an abundant number, since it is smaller than the sum of its proper divisors (12819814267).

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

9680985664 is an frugal number, since it uses more digits than its factorization.

9680985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 61.

The cubic root of 9680985664 is about 2131.2768075632.

The spelling of 9680985664 in words is "nine billion, six hundred eighty million, nine hundred eighty-five thousand, six hundred sixty-four".