9730506240 has 1440 divisors, whose sum is σ = 46098344160. Its totient is φ = 1932263424.

The previous prime is 9730506169. The next prime is 9730506251. The reversal of 9730506240 is 426050379.

9730506240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×9730506240³ (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 9730506195 and 9730506204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 572382712 + ... + 572382728.

It is an arithmetic number, because the mean of its divisors is an integer number (32012739).

Almost surely, 2^9730506240 is an apocalyptic number.

9730506240 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 9730506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23049172080).

9730506240 is an abundant number, since it is smaller than the sum of its proper divisors (36367837920).

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

9730506240 is a wasteful number, since it uses less digits than its factorization.

9730506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 9730506240 is about 98643.3284109980. The cubic root of 9730506240 is about 2134.9046271111.

The spelling of 9730506240 in words is "nine billion, seven hundred thirty million, five hundred six thousand, two hundred forty".