9995800320 has 648 divisors, whose sum is σ = 38931381216. Its totient is φ = 2365440000.

The previous prime is 9995800313. The next prime is 9995800333. The reversal of 9995800320 is 230085999.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98968270 + ... + 98968370.

It is an arithmetic number, because the mean of its divisors is an integer number (60079292).

Almost surely, 2^9995800320 is an apocalyptic number.

9995800320 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 9995800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19465690608).

9995800320 is an abundant number, since it is smaller than the sum of its proper divisors (28935580896).

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

9995800320 is a wasteful number, since it uses less digits than its factorization.

9995800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 9995800320 is about 99978.9993948729. Note that the first 3 decimals coincide. The cubic root of 9995800320 is about 2154.1330499256.

The spelling of 9995800320 in words is "nine billion, nine hundred ninety-five million, eight hundred thousand, three hundred twenty".