6789238560 has 480 divisors, whose sum is σ = 26279225280. Its totient is φ = 1640466432.

The previous prime is 6789238499. The next prime is 6789238571. The reversal of 6789238560 is 658329876.

It is a happy number.

6789238560 is a `hidden beast` number, since 6 + 78 + 9 + 2 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6789238497 and 6789238506.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9939979 + ... + 9940661.

It is an arithmetic number, because the mean of its divisors is an integer number (54748386).

Almost surely, 2^6789238560 is an apocalyptic number.

6789238560 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 6789238560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139612640).

6789238560 is an abundant number, since it is smaller than the sum of its proper divisors (19489986720).

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

6789238560 is a wasteful number, since it uses less digits than its factorization.

6789238560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 6789238560 is about 82396.8358615791. The cubic root of 6789238560 is about 1893.5365378453.

The spelling of 6789238560 in words is "six billion, seven hundred eighty-nine million, two hundred thirty-eight thousand, five hundred sixty".