6442162167 has 48 divisors (see below), whose sum is σ = 10438364160. Its totient is φ = 3457786752.

The previous prime is 6442162157. The next prime is 6442162169. The reversal of 6442162167 is 7612612446.

It is not a de Polignac number, because 6442162167 - 2⁸ = 6442161911 is a prime.

It is a super-2 number, since 2×6442162167² = 83002906771852271778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442162169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829858 + ... + 837584.

It is an arithmetic number, because the mean of its divisors is an integer number (217465920).

Almost surely, 2^6442162167 is an apocalyptic number.

6442162167 is a deficient number, since it is larger than the sum of its proper divisors (3996201993).

6442162167 is a wasteful number, since it uses less digits than its factorization.

6442162167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7840 (or 7803 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 6442162167 is about 80263.0809712660. The cubic root of 6442162167 is about 1860.7036847796.

The spelling of 6442162167 in words is "six billion, four hundred forty-two million, one hundred sixty-two thousand, one hundred sixty-seven".