6779310720 has 768 divisors, whose sum is σ = 28364878080. Its totient is φ = 1362493440.

The previous prime is 6779310709. The next prime is 6779310739. The reversal of 6779310720 is 270139776.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28129800 + ... + 28130040.

It is an arithmetic number, because the mean of its divisors is an integer number (36933435).

Almost surely, 2^6779310720 is an apocalyptic number.

6779310720 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 6779310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182439040).

6779310720 is an abundant number, since it is smaller than the sum of its proper divisors (21585567360).

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

6779310720 is a wasteful number, since it uses less digits than its factorization.

6779310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 111132, while the sum is 42.

The square root of 6779310720 is about 82336.5697609513. The cubic root of 6779310720 is about 1892.6131206788.

The spelling of 6779310720 in words is "six billion, seven hundred seventy-nine million, three hundred ten thousand, seven hundred twenty".