9497825280 has 234 divisors, whose sum is σ = 33067443786. Its totient is φ = 2521595904.

The previous prime is 9497825269. The next prime is 9497825287. The reversal of 9497825280 is 825287949.

9497825280 is a `hidden beast` number, since 9 + 49 + 78 + 2 + 528 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7598260224 + 1899565056 = 87168^2 + 43584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9497825287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41840527 + ... + 41840753.

Almost surely, 2^9497825280 is an apocalyptic number.

9497825280 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 9497825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16533721893).

9497825280 is an abundant number, since it is smaller than the sum of its proper divisors (23569618506).

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

9497825280 is an equidigital number, since it uses as much as digits as its factorization.

9497825280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 9497825280 is about 97456.7867313508. The cubic root of 9497825280 is about 2117.7501704912.

The spelling of 9497825280 in words is "nine billion, four hundred ninety-seven million, eight hundred twenty-five thousand, two hundred eighty".