9314766720 has 960 divisors, whose sum is σ = 40943350800. Its totient is φ = 2006581248.

The previous prime is 9314766719. The next prime is 9314766749. The reversal of 9314766720 is 276674139.

It is a tau number, because it is divible by the number of its divisors (960).

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 119 ways as a sum of consecutive naturals, for example, 48262944 + ... + 48263136.

Almost surely, 2^9314766720 is an apocalyptic number.

9314766720 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 9314766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20471675400).

9314766720 is an abundant number, since it is smaller than the sum of its proper divisors (31628584080).

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

9314766720 is a wasteful number, since it uses less digits than its factorization.

9314766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 9314766720 is about 96513.0391190745. The cubic root of 9314766720 is about 2104.0561604617.

The spelling of 9314766720 in words is "nine billion, three hundred fourteen million, seven hundred sixty-six thousand, seven hundred twenty".