9730919160 has 192 divisors, whose sum is σ = 33368400000. Its totient is φ = 2452550400.

The previous prime is 9730919137. The next prime is 9730919161. The reversal of 9730919160 is 619190379.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9730919161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3411735 + ... + 3414585.

It is an arithmetic number, because the mean of its divisors is an integer number (173793750).

Almost surely, 2^9730919160 is an apocalyptic number.

9730919160 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 9730919160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684200000).

9730919160 is an abundant number, since it is smaller than the sum of its proper divisors (23637480840).

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

9730919160 is a wasteful number, since it uses less digits than its factorization.

9730919160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3386 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 9730919160 is about 98645.4213838635. The cubic root of 9730919160 is about 2134.9348253464.

The spelling of 9730919160 in words is "nine billion, seven hundred thirty million, nine hundred nineteen thousand, one hundred sixty".