6294268320 has 384 divisors, whose sum is σ = 22394050560. Its totient is φ = 1478062080.

The previous prime is 6294268313. The next prime is 6294268361. The reversal of 6294268320 is 238624926.

It is a super-4 number, since 4×6294268320⁴ (a number of 40 digits) contains 4444 as substring.

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 63 ways as a sum of consecutive naturals, for example, 7760715 + ... + 7761525.

It is an arithmetic number, because the mean of its divisors is an integer number (58317840).

Almost surely, 2^6294268320 is an apocalyptic number.

6294268320 is a gapful number since it is divisible by the number (60) 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 6294268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11197025280).

6294268320 is an abundant number, since it is smaller than the sum of its proper divisors (16099782240).

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

6294268320 is a wasteful number, since it uses less digits than its factorization.

6294268320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 6294268320 is about 79336.4249257553. The cubic root of 6294268320 is about 1846.3544786867.

The spelling of 6294268320 in words is "six billion, two hundred ninety-four million, two hundred sixty-eight thousand, three hundred twenty".