9930067488 has 288 divisors, whose sum is σ = 31948862400. Its totient is φ = 2899353600.

The previous prime is 9930067487. The next prime is 9930067493. The reversal of 9930067488 is 8847600399.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (9930067487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11559603 + ... + 11560461.

It is an arithmetic number, because the mean of its divisors is an integer number (110933550).

Almost surely, 2^9930067488 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 9930067488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15974431200).

9930067488 is an abundant number, since it is smaller than the sum of its proper divisors (22018794912).

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

9930067488 is a wasteful number, since it uses less digits than its factorization.

9930067488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 9930067488 is about 99649.7239735264. The cubic root of 9930067488 is about 2149.4007695812.

The spelling of 9930067488 in words is "nine billion, nine hundred thirty million, sixty-seven thousand, four hundred eighty-eight".