4000673410767 has 24 divisors (see below), whose sum is σ = 6308703273600. Its totient is φ = 2422876768080.

The previous prime is 4000673410711. The next prime is 4000673410819. The reversal of 4000673410767 is 7670143760004.

It is not a de Polignac number, because 4000673410767 - 2⁷ = 4000673410639 is a prime.

It is a super-2 number, since 2×4000673410767² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000673410067) 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, 14645517 + ... + 14916182.

It is an arithmetic number, because the mean of its divisors is an integer number (262862636400).

Almost surely, 2^{4000673410767} is an apocalyptic number.

4000673410767 is a deficient number, since it is larger than the sum of its proper divisors (2308029862833).

4000673410767 is a wasteful number, since it uses less digits than its factorization.

4000673410767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29563083 (or 29563080 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 4000673410767 in words is "four trillion, six hundred seventy-three million, four hundred ten thousand, seven hundred sixty-seven".