6766046615016 has 192 divisors, whose sum is σ = 19824161797440. Its totient is φ = 2072390400000.

The previous prime is 6766046614979. The next prime is 6766046615017. The reversal of 6766046615016 is 6105166406676.

6766046615016 is a `hidden beast` number, since 6 + 7 + 6 + 6 + 0 + 4 + 6 + 615 + 0 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (6766046615017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472449136 + ... + 472463456.

It is an arithmetic number, because the mean of its divisors is an integer number (103250842695).

Almost surely, 2^{6766046615016} 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 6766046615016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9912080898720).

6766046615016 is an abundant number, since it is smaller than the sum of its proper divisors (13058115182424).

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

6766046615016 is a wasteful number, since it uses less digits than its factorization.

6766046615016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16608 (or 16601 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 6766046615016 in words is "six trillion, seven hundred sixty-six billion, forty-six million, six hundred fifteen thousand, sixteen".