6706461961 has 8 divisors (see below), whose sum is σ = 6940410120. Its totient is φ = 6472693248.

The previous prime is 6706461887. The next prime is 6706461967. The reversal of 6706461961 is 1691646076.

6706461961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 245517561 + 6460944400 = 15669^2 + 80380^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6706461961 - 2⁹ = 6706461449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6706461967) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 33535 + ... + 120571.

It is an arithmetic number, because the mean of its divisors is an integer number (867551265).

Almost surely, 2^6706461961 is an apocalyptic number.

It is an amenable number.

6706461961 is a deficient number, since it is larger than the sum of its proper divisors (233948159).

6706461961 is a wasteful number, since it uses less digits than its factorization.

6706461961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89723.

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 6706461961 is about 81892.9909149739. The cubic root of 6706461961 is about 1885.8095115187.

The spelling of 6706461961 in words is "six billion, seven hundred six million, four hundred sixty-one thousand, nine hundred sixty-one".