8309488320 has 672 divisors, whose sum is σ = 34491899520. Its totient is φ = 1796014080.

The previous prime is 8309488309. The next prime is 8309488321. The reversal of 8309488320 is 238849038.

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

It is a super-2 number, since 2×8309488320² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8309488321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35662924 + ... + 35663156.

Almost surely, 2^8309488320 is an apocalyptic number.

8309488320 is a gapful number since it is divisible by the number (80) 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 8309488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245949760).

8309488320 is an abundant number, since it is smaller than the sum of its proper divisors (26182411200).

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

8309488320 is a wasteful number, since it uses less digits than its factorization.

8309488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8309488320 is about 91156.3948387605. The cubic root of 8309488320 is about 2025.4650820195.

The spelling of 8309488320 in words is "eight billion, three hundred nine million, four hundred eighty-eight thousand, three hundred twenty".