8294944320 has 560 divisors, whose sum is σ = 32219066880. Its totient is φ = 2013548544.

The previous prime is 8294944279. The next prime is 8294944349. The reversal of 8294944320 is 234494928.

It is a happy number.

It is a super-2 number, since 2×8294944320² (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 an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 34706761 + ... + 34706999.

It is an arithmetic number, because the mean of its divisors is an integer number (57534048).

Almost surely, 2^8294944320 is an apocalyptic number.

8294944320 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 8294944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109533440).

8294944320 is an abundant number, since it is smaller than the sum of its proper divisors (23924122560).

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

8294944320 is a wasteful number, since it uses less digits than its factorization.

8294944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 8294944320 is about 91076.5849162121. The cubic root of 8294944320 is about 2024.2826759705.

The spelling of 8294944320 in words is "eight billion, two hundred ninety-four million, nine hundred forty-four thousand, three hundred twenty".