9967320688 has 40 divisors (see below), whose sum is σ = 20851665408. Its totient is φ = 4588253952.

The previous prime is 9967320679. The next prime is 9967320689. The reversal of 9967320688 is 8860237699.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9967320689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17106 + ... + 142222.

Almost surely, 2^9967320688 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 9967320688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10425832704).

9967320688 is an abundant number, since it is smaller than the sum of its proper divisors (10884344720).

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

9967320688 is a wasteful number, since it uses less digits than its factorization.

9967320688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125521 (or 125515 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The square root of 9967320688 is about 99836.4697292527. The cubic root of 9967320688 is about 2152.0852808204.

The spelling of 9967320688 in words is "nine billion, nine hundred sixty-seven million, three hundred twenty thousand, six hundred eighty-eight".