9247265280 has 720 divisors, whose sum is σ = 36677152512. Its totient is φ = 2149171200.

The previous prime is 9247265263. The next prime is 9247265281. The reversal of 9247265280 is 825627429.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9247265281) 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 71 ways as a sum of consecutive naturals, for example, 86422987 + ... + 86423093.

Almost surely, 2^9247265280 is an apocalyptic number.

9247265280 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 9247265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338576256).

9247265280 is an abundant number, since it is smaller than the sum of its proper divisors (27429887232).

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

9247265280 is a wasteful number, since it uses less digits than its factorization.

9247265280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9247265280 is about 96162.7021250963. The cubic root of 9247265280 is about 2098.9613367003.

The spelling of 9247265280 in words is "nine billion, two hundred forty-seven million, two hundred sixty-five thousand, two hundred eighty".