9830920320 has 512 divisors, whose sum is σ = 37939104000. Its totient is φ = 2391441408.

The previous prime is 9830920289. The next prime is 9830920343. The reversal of 9830920320 is 230290389.

9830920320 is a `hidden beast` number, since 9 + 8 + 309 + 20 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24036276 + ... + 24036684.

Almost surely, 2^9830920320 is an apocalyptic number.

9830920320 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 9830920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18969552000).

9830920320 is an abundant number, since it is smaller than the sum of its proper divisors (28108183680).

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

9830920320 is a wasteful number, since it uses less digits than its factorization.

9830920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 9830920320 is about 99150.9975744067. The cubic root of 9830920320 is about 2142.2232346648.

The spelling of 9830920320 in words is "nine billion, eight hundred thirty million, nine hundred twenty thousand, three hundred twenty".