9909319680 has 480 divisors, whose sum is σ = 38291853600. Its totient is φ = 2436562944.

The previous prime is 9909319627. The next prime is 9909319681. The reversal of 9909319680 is 869139099.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9909319681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10782261 + ... + 10783179.

It is an arithmetic number, because the mean of its divisors is an integer number (79774695).

Almost surely, 2^9909319680 is an apocalyptic number.

9909319680 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 9909319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19145926800).

9909319680 is an abundant number, since it is smaller than the sum of its proper divisors (28382533920).

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

9909319680 is a wasteful number, since it uses less digits than its factorization.

9909319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The square root of 9909319680 is about 99545.5658480075. The cubic root of 9909319680 is about 2147.9027451987.

The spelling of 9909319680 in words is "nine billion, nine hundred nine million, three hundred nineteen thousand, six hundred eighty".