9752563296 has 360 divisors, whose sum is σ = 34454984256. Its totient is φ = 2695472640.

The previous prime is 9752563283. The next prime is 9752563313. The reversal of 9752563296 is 6923652579.

9752563296 is a `hidden beast` number, since 9 + 7 + 52 + 563 + 29 + 6 = 666.

It is a super-2 number, since 2×9752563296² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6123600) is a multiple of the sum of its prime divisors (2520).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 3936010 + ... + 3938486.

Almost surely, 2^9752563296 is an apocalyptic number.

9752563296 is a gapful number since it is divisible by the number (96) 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 9752563296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17227492128).

9752563296 is an abundant number, since it is smaller than the sum of its proper divisors (24702420960).

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

9752563296 is a wasteful number, since it uses less digits than its factorization.

9752563296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2520 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The square root of 9752563296 is about 98755.0671915117. The cubic root of 9752563296 is about 2136.5165396399.

The spelling of 9752563296 in words is "nine billion, seven hundred fifty-two million, five hundred sixty-three thousand, two hundred ninety-six".