6777312768 has 480 divisors, whose sum is σ = 22163581440. Its totient is φ = 2060328960.

The previous prime is 6777312727. The next prime is 6777312781. The reversal of 6777312768 is 8672137776.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111103458 + ... + 111103518.

It is an arithmetic number, because the mean of its divisors is an integer number (46174128).

Almost surely, 2^6777312768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6777312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11081790720).

6777312768 is an abundant number, since it is smaller than the sum of its proper divisors (15386268672).

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

6777312768 is an equidigital number, since it uses as much as digits as its factorization.

6777312768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The square root of 6777312768 is about 82324.4360320798. The cubic root of 6777312768 is about 1892.4271764210.

The spelling of 6777312768 in words is "six billion, seven hundred seventy-seven million, three hundred twelve thousand, seven hundred sixty-eight".