4167789967 has 16 divisors (see below), whose sum is σ = 4575204000. Its totient is φ = 3765207040.

The previous prime is 4167789893. The next prime is 4167790019. The reversal of 4167789967 is 7699877614.

It is a cyclic number.

It is not a de Polignac number, because 4167789967 - 2¹⁵ = 4167757199 is a prime.

It is a super-2 number, since 2×4167789967² = 34740946418051722178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4167789899 and 4167789908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4167789167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1327023 + ... + 1330159.

It is an arithmetic number, because the mean of its divisors is an integer number (285950250).

Almost surely, 2^4167789967 is an apocalyptic number.

4167789967 is a deficient number, since it is larger than the sum of its proper divisors (407414033).

4167789967 is a wasteful number, since it uses less digits than its factorization.

4167789967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866.

The product of its digits is 32006016, while the sum is 64.

The square root of 4167789967 is about 64558.4228974036. The cubic root of 4167789967 is about 1609.2935659563.

The spelling of 4167789967 in words is "four billion, one hundred sixty-seven million, seven hundred eighty-nine thousand, nine hundred sixty-seven".