9939964320 has 288 divisors, whose sum is σ = 39851046144. Its totient is φ = 2224281600.

The previous prime is 9939964301. The next prime is 9939964337. The reversal of 9939964320 is 234699399.

9939964320 is a `hidden beast` number, since 99 + 39 + 96 + 432 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181785 + ... + 230055.

It is an arithmetic number, because the mean of its divisors is an integer number (138371688).

Almost surely, 2^9939964320 is an apocalyptic number.

9939964320 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 9939964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19925523072).

9939964320 is an abundant number, since it is smaller than the sum of its proper divisors (29911081824).

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

9939964320 is a wasteful number, since it uses less digits than its factorization.

9939964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48316 (or 48305 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The square root of 9939964320 is about 99699.3697071351. The cubic root of 9939964320 is about 2150.1146014269.

The spelling of 9939964320 in words is "nine billion, nine hundred thirty-nine million, nine hundred sixty-four thousand, three hundred twenty".