9730023264 has 288 divisors, whose sum is σ = 31240538784. Its totient is φ = 2961100800.

The previous prime is 9730023263. The next prime is 9730023269. The reversal of 9730023264 is 4623200379.

It is a happy number.

9730023264 is a `hidden beast` number, since 97 + 300 + 2 + 3 + 264 = 666.

9730023264 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 (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9730023263) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10209412 + ... + 10210364.

It is an arithmetic number, because the mean of its divisors is an integer number (108474093).

Almost surely, 2^9730023264 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 9730023264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15620269392).

9730023264 is an abundant number, since it is smaller than the sum of its proper divisors (21510515520).

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

9730023264 is a wasteful number, since it uses less digits than its factorization.

9730023264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 9730023264 is about 98640.8802880428. The cubic root of 9730023264 is about 2134.8693043598.

The spelling of 9730023264 in words is "nine billion, seven hundred thirty million, twenty-three thousand, two hundred sixty-four".