9968480880 has 320 divisors, whose sum is σ = 33099131520. Its totient is φ = 2477260800.

The previous prime is 9968480843. The next prime is 9968480887. The reversal of 9968480880 is 880848699.

It is a super-2 number, since 2×9968480880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9968480887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51650064 + ... + 51650256.

It is an arithmetic number, because the mean of its divisors is an integer number (103434786).

Almost surely, 2^9968480880 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 9968480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16549565760).

9968480880 is an abundant number, since it is smaller than the sum of its proper divisors (23130650640).

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

9968480880 is a wasteful number, since it uses less digits than its factorization.

9968480880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 60.

The square root of 9968480880 is about 99842.2800220428. The cubic root of 9968480880 is about 2152.1687781926.

The spelling of 9968480880 in words is "nine billion, nine hundred sixty-eight million, four hundred eighty thousand, eight hundred eighty".