9945976320 has 480 divisors, whose sum is σ = 39894446592. Its totient is φ = 2242953216.

The previous prime is 9945976309. The next prime is 9945976321. The reversal of 9945976320 is 236795499.

9945976320 is a `hidden beast` number, since 99 + 459 + 76 + 32 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9945976321) 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, 13385869 + ... + 13386611.

Almost surely, 2^9945976320 is an apocalyptic number.

9945976320 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 9945976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19947223296).

9945976320 is an abundant number, since it is smaller than the sum of its proper divisors (29948470272).

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

9945976320 is a wasteful number, since it uses less digits than its factorization.

9945976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 9945976320 is about 99729.5157914647. The cubic root of 9945976320 is about 2150.5479994864.

The spelling of 9945976320 in words is "nine billion, nine hundred forty-five million, nine hundred seventy-six thousand, three hundred twenty".