9752234880 has 256 divisors, whose sum is σ = 33487660800. Its totient is φ = 2406039552.

The previous prime is 9752234879. The next prime is 9752234911. The reversal of 9752234880 is 884322579.

It is a super-2 number, since 2×9752234880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 1565532 + ... + 1571748.

It is an arithmetic number, because the mean of its divisors is an integer number (130811175).

Almost surely, 2^9752234880 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 9752234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16743830400).

9752234880 is an abundant number, since it is smaller than the sum of its proper divisors (23735425920).

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

9752234880 is a wasteful number, since it uses less digits than its factorization.

9752234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6301 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 9752234880 is about 98753.4043970131. The cubic root of 9752234880 is about 2136.4925570872.

The spelling of 9752234880 in words is "nine billion, seven hundred fifty-two million, two hundred thirty-four thousand, eight hundred eighty".