4006705667 has 8 divisors (see below), whose sum is σ = 4063310400. Its totient is φ = 3950147520.

The previous prime is 4006705663. The next prime is 4006705697. The reversal of 4006705667 is 7665076004.

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 4006705667 - 2² = 4006705663 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4006705663) 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 7 ways as a sum of consecutive naturals, for example, 184709 + ... + 205257.

It is an arithmetic number, because the mean of its divisors is an integer number (507913800).

Almost surely, 2^4006705667 is an apocalyptic number.

4006705667 is a deficient number, since it is larger than the sum of its proper divisors (56604733).

4006705667 is a wasteful number, since it uses less digits than its factorization.

4006705667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23293.

The product of its (nonzero) digits is 211680, while the sum is 41.

The square root of 4006705667 is about 63298.5439563976. The cubic root of 4006705667 is about 1588.2876053125.

The spelling of 4006705667 in words is "four billion, six million, seven hundred five thousand, six hundred sixty-seven".