4006700001 has 24 divisors (see below), whose sum is σ = 5992070760. Its totient is φ = 2576851200.

The previous prime is 4006699999. The next prime is 4006700003. The reversal of 4006700001 is 1000076004.

It is an interprime number because it is at equal distance from previous prime (4006699999) and next prime (4006700003).

It can be written as a sum of positive squares in 4 ways, for example, as 622253025 + 3384446976 = 24945^2 + 58176^2 .

It is not a de Polignac number, because 4006700001 - 2¹ = 4006699999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4006700003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338971 + ... + 350591.

It is an arithmetic number, because the mean of its divisors is an integer number (249669615).

Almost surely, 2^4006700001 is an apocalyptic number.

It is an amenable number.

4006700001 is a deficient number, since it is larger than the sum of its proper divisors (1985370759).

4006700001 is a wasteful number, since it uses less digits than its factorization.

4006700001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12977 (or 12974 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4006700001 is about 63298.4992002180. The cubic root of 4006700001 is about 1588.2868566308.

Adding to 4006700001 its reverse (1000076004), we get a palindrome (5006776005).

The spelling of 4006700001 in words is "four billion, six million, seven hundred thousand, one".