6166781712 has 720 divisors, whose sum is σ = 23463498240. Its totient is φ = 1494484992.

The previous prime is 6166781659. The next prime is 6166781717. The reversal of 6166781712 is 2171876616.

6166781712 is a `hidden beast` number, since 616 + 6 + 7 + 8 + 17 + 12 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6166781717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78060489 + ... + 78060567.

It is an arithmetic number, because the mean of its divisors is an integer number (32588192).

Almost surely, 2^6166781712 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 6166781712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11731749120).

6166781712 is an abundant number, since it is smaller than the sum of its proper divisors (17296716528).

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

6166781712 is a wasteful number, since it uses less digits than its factorization.

6166781712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 6166781712 is about 78528.8591028801. The cubic root of 6166781712 is about 1833.8037588911.

The spelling of 6166781712 in words is "six billion, one hundred sixty-six million, seven hundred eighty-one thousand, seven hundred twelve".