6774856704 has 264 divisors, whose sum is σ = 24391855488. Its totient is φ = 1759518720.

The previous prime is 6774856703. The next prime is 6774856727. The reversal of 6774856704 is 4076584776.

6774856704 is a `hidden beast` number, since 6 + 7 + 74 + 8 + 567 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6774856703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 704859 + ... + 714405.

It is an arithmetic number, because the mean of its divisors is an integer number (92393392).

Almost surely, 2^6774856704 is an apocalyptic number.

6774856704 is a gapful number since it is divisible by the number (64) 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 6774856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12195927744).

6774856704 is an abundant number, since it is smaller than the sum of its proper divisors (17616998784).

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

6774856704 is a wasteful number, since it uses less digits than its factorization.

6774856704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9591 (or 9570 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The square root of 6774856704 is about 82309.5176999598. The cubic root of 6774856704 is about 1892.1985467760.

The spelling of 6774856704 in words is "six billion, seven hundred seventy-four million, eight hundred fifty-six thousand, seven hundred four".