6807027104784 has 375 divisors, whose sum is σ = 20748472052077. Its totient is φ = 2154514450176.

The previous prime is 6807027104777. The next prime is 6807027104827. The reversal of 6807027104784 is 4874017207086.

The square root of 6807027104784 is 2609028.

It is a perfect power (a square), and thus also a powerful number.

6807027104784 is a `hidden beast` number, since 6 + 80 + 70 + 27 + 1 + 0 + 478 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3998480144400 + 2808546960384 = 1999620^2 + 1675872^2 .

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6807027104784.

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 74 ways as a sum of consecutive naturals, for example, 49686329164 + ... + 49686329300.

Almost surely, 2^{6807027104784} is an apocalyptic number.

6807027104784 is the 2609028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6807027104784

6807027104784 is an abundant number, since it is smaller than the sum of its proper divisors (13941444947293).

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

6807027104784 is an frugal number, since it uses more digits than its factorization.

6807027104784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 6807027104784 in words is "six trillion, eight hundred seven billion, twenty-seven million, one hundred four thousand, seven hundred eighty-four".