9919445760 has 576 divisors, whose sum is σ = 40665461760. Its totient is φ = 2242805760.

The previous prime is 9919445707. The next prime is 9919445771. The reversal of 9919445760 is 675449199.

It is a happy number.

9919445760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 9919445697 and 9919445706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31691364 + ... + 31691676.

It is an arithmetic number, because the mean of its divisors is an integer number (70599760).

Almost surely, 2^9919445760 is an apocalyptic number.

9919445760 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 9919445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20332730880).

9919445760 is an abundant number, since it is smaller than the sum of its proper divisors (30746016000).

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

9919445760 is a wasteful number, since it uses less digits than its factorization.

9919445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 9919445760 is about 99596.4143932903. The cubic root of 9919445760 is about 2148.6341250648.

The spelling of 9919445760 in words is "nine billion, nine hundred nineteen million, four hundred forty-five thousand, seven hundred sixty".