9334805760 has 648 divisors, whose sum is σ = 39258535680. Its totient is φ = 2038063104.

The previous prime is 9334805741. The next prime is 9334805789. The reversal of 9334805760 is 675084339.

9334805760 is a `hidden beast` number, since 9 + 33 + 48 + 0 + 576 + 0 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 12982681 + ... + 12983399.

It is an arithmetic number, because the mean of its divisors is an integer number (60584160).

Almost surely, 2^9334805760 is an apocalyptic number.

9334805760 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 9334805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629267840).

9334805760 is an abundant number, since it is smaller than the sum of its proper divisors (29923729920).

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

9334805760 is a wasteful number, since it uses less digits than its factorization.

9334805760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 9334805760 is about 96616.7985393844. The cubic root of 9334805760 is about 2105.5639121625.

The spelling of 9334805760 in words is "nine billion, three hundred thirty-four million, eight hundred five thousand, seven hundred sixty".