4664919168 has 576 divisors, whose sum is σ = 17448976800. Its totient is φ = 1222760448.

The previous prime is 4664919167. The next prime is 4664919173. The reversal of 4664919168 is 8619194664.

It is a happy number.

4664919168 is a `hidden beast` number, since 4 + 6 + 6 + 491 + 91 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4664919168² = 43522941687947624448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4664919163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28619055 + ... + 28619217.

Almost surely, 2^4664919168 is an apocalyptic number.

4664919168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664919168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724488400).

4664919168 is an abundant number, since it is smaller than the sum of its proper divisors (12784057632).

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

4664919168 is a wasteful number, since it uses less digits than its factorization.

4664919168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 188 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 4664919168 is about 68300.2135282167. The cubic root of 4664919168 is about 1670.8906967689.

The spelling of 4664919168 in words is "four billion, six hundred sixty-four million, nine hundred nineteen thousand, one hundred sixty-eight".