4007006667 has 12 divisors (see below), whose sum is σ = 5911045920. Its totient is φ = 2614500528.

The previous prime is 4007006657. The next prime is 4007006677. The reversal of 4007006667 is 7666007004.

It is an interprime number because it is at equal distance from previous prime (4007006657) and next prime (4007006677).

It is not a de Polignac number, because 4007006667 - 2⁴ = 4007006651 is a prime.

It is a super-2 number, since 2×4007006667² = 32112204858764897778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4007006657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4735992 + ... + 4736837.

It is an arithmetic number, because the mean of its divisors is an integer number (492587160).

Almost surely, 2^4007006667 is an apocalyptic number.

4007006667 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4007006667 is a deficient number, since it is larger than the sum of its proper divisors (1904039253).

4007006667 is a wasteful number, since it uses less digits than its factorization.

4007006667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9472882 (or 9472879 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 4007006667 is about 63300.9215335764. The cubic root of 4007006667 is about 1588.3273771881.

The spelling of 4007006667 in words is "four billion, seven million, six thousand, six hundred sixty-seven".