9835920720 has 480 divisors, whose sum is σ = 36072691200. Its totient is φ = 2487324672.

The previous prime is 9835920701. The next prime is 9835920733. The reversal of 9835920720 is 270295389.

9835920720 is a `hidden beast` number, since 98 + 359 + 207 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41154361 + ... + 41154599.

It is an arithmetic number, because the mean of its divisors is an integer number (75151440).

Almost surely, 2^9835920720 is an apocalyptic number.

9835920720 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 9835920720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036345600).

9835920720 is an abundant number, since it is smaller than the sum of its proper divisors (26236770480).

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

9835920720 is a wasteful number, since it uses less digits than its factorization.

9835920720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9835920720 is about 99176.2104539188. The cubic root of 9835920720 is about 2142.5863799603.

The spelling of 9835920720 in words is "nine billion, eight hundred thirty-five million, nine hundred twenty thousand, seven hundred twenty".