6783268320 has 192 divisors, whose sum is σ = 24131580480. Its totient is φ = 1779148800.

The previous prime is 6783268319. The next prime is 6783268321. The reversal of 6783268320 is 238623876.

6783268320 is a `hidden beast` number, since 67 + 8 + 3 + 268 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (6783268319) and next prime (6783268321).

It is a super-2 number, since 2×6783268320² = 92025458202231244800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6783268321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250650 + ... + 276390.

It is an arithmetic number, because the mean of its divisors is an integer number (125685315).

Almost surely, 2^6783268320 is an apocalyptic number.

6783268320 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 6783268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065790240).

6783268320 is an abundant number, since it is smaller than the sum of its proper divisors (17348312160).

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

6783268320 is a wasteful number, since it uses less digits than its factorization.

6783268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25826 (or 25812 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6783268320 is about 82360.5993178777. The cubic root of 6783268320 is about 1892.9813365115.

The spelling of 6783268320 in words is "six billion, seven hundred eighty-three million, two hundred sixty-eight thousand, three hundred twenty".