9730547840 has 192 divisors, whose sum is σ = 25906933080. Its totient is φ = 3474063360.

The previous prime is 9730547833. The next prime is 9730547861. The reversal of 9730547840 is 487450379.

It can be written as a sum of positive squares in 4 ways, for example, as 5280056896 + 4450490944 = 72664^2 + 66712^2 .

It is a super-2 number, since 2×9730547840² (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 7994912 + ... + 7996128.

Almost surely, 2^9730547840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9730547840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12953466540).

9730547840 is an abundant number, since it is smaller than the sum of its proper divisors (16176385240).

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

9730547840 is a wasteful number, since it uses less digits than its factorization.

9730547840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 47.

The square root of 9730547840 is about 98643.5392714596. The cubic root of 9730547840 is about 2134.9076694984.

The spelling of 9730547840 in words is "nine billion, seven hundred thirty million, five hundred forty-seven thousand, eight hundred forty".