4006728407667 has 8 divisors (see below), whose sum is σ = 5347339707600. Its totient is φ = 2668634689760.

The previous prime is 4006728407641. The next prime is 4006728407701. The reversal of 4006728407667 is 7667048276004.

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 4006728407667 - 2⁸ = 4006728407411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4006728407567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 629391792 + ... + 629398157.

It is an arithmetic number, because the mean of its divisors is an integer number (668417463450).

Almost surely, 2^{4006728407667} is an apocalyptic number.

4006728407667 is a deficient number, since it is larger than the sum of its proper divisors (1340611299933).

4006728407667 is a wasteful number, since it uses less digits than its factorization.

4006728407667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258791013.

The product of its (nonzero) digits is 18966528, while the sum is 57.

The spelling of 4006728407667 in words is "four trillion, six billion, seven hundred twenty-eight million, four hundred seven thousand, six hundred sixty-seven".