4617667164 has 24 divisors (see below), whose sum is σ = 11754062208. Its totient is φ = 1399293040.

The previous prime is 4617667141. The next prime is 4617667169.

4617667164 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4617667169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17491032 + ... + 17491295.

It is an arithmetic number, because the mean of its divisors is an integer number (489752592).

Almost surely, 2^4617667164 is an apocalyptic number.

4617667164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4617667164 is an abundant number, since it is smaller than the sum of its proper divisors (7136395044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4617667164 is a wasteful number, since it uses less digits than its factorization.

4617667164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34982345 (or 34982343 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 4617667164 is about 67953.4190751282. The cubic root of 4617667164 is about 1665.2299326242.

The spelling of 4617667164 in words is "four billion, six hundred seventeen million, six hundred sixty-seven thousand, one hundred sixty-four".