9730727424 has 320 divisors, whose sum is σ = 31819392000. Its totient is φ = 2911518720.

The previous prime is 9730727407. The next prime is 9730727437. The reversal of 9730727424 is 4247270379.

It is a self number, because there is not a number n which added to its sum of digits gives 9730727424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13533337 + ... + 13534055.

It is an arithmetic number, because the mean of its divisors is an integer number (99435600).

Almost surely, 2^9730727424 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 9730727424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909696000).

9730727424 is an abundant number, since it is smaller than the sum of its proper divisors (22088664576).

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

9730727424 is a wasteful number, since it uses less digits than its factorization.

9730727424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 9730727424 is about 98644.4495346799. The cubic root of 9730727424 is about 2134.9208031509.

The spelling of 9730727424 in words is "nine billion, seven hundred thirty million, seven hundred twenty-seven thousand, four hundred twenty-four".