6777491734080 has 336 divisors, whose sum is σ = 24147683043120. Its totient is φ = 1742687944704.

The previous prime is 6777491734063. The next prime is 6777491734213. The reversal of 6777491734080 is 804371947776.

6777491734080 is a `hidden beast` number, since 6 + 7 + 7 + 74 + 91 + 73 + 408 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 938077479936 + 5839414254144 = 968544^2 + 2416488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6777491733999 and 6777491734017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63171042 + ... + 63278238.

It is an arithmetic number, because the mean of its divisors is an integer number (71868104295).

Almost surely, 2^{6777491734080} is an apocalyptic number.

6777491734080 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 6777491734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12073841521560).

6777491734080 is an abundant number, since it is smaller than the sum of its proper divisors (17370191309040).

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

6777491734080 is a wasteful number, since it uses less digits than its factorization.

6777491734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108006 (or 107993 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 6777491734080 in words is "six trillion, seven hundred seventy-seven billion, four hundred ninety-one million, seven hundred thirty-four thousand, eighty".