9259699680 has 672 divisors, whose sum is σ = 40931993088. Its totient is φ = 1922227200.

The previous prime is 9259699633. The next prime is 9259699711. The reversal of 9259699680 is 869969529.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8980765 + ... + 8981795.

It is an arithmetic number, because the mean of its divisors is an integer number (60910704).

Almost surely, 2^9259699680 is an apocalyptic number.

9259699680 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 9259699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20465996544).

9259699680 is an abundant number, since it is smaller than the sum of its proper divisors (31672293408).

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

9259699680 is a wasteful number, since it uses less digits than its factorization.

9259699680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The square root of 9259699680 is about 96227.3333310240. Note that the first 5 decimals coincide. The cubic root of 9259699680 is about 2099.9017096853.

The spelling of 9259699680 in words is "nine billion, two hundred fifty-nine million, six hundred ninety-nine thousand, six hundred eighty".