4164576768 has 480 divisors, whose sum is σ = 14477823360. Its totient is φ = 1181122560.

The previous prime is 4164576739. The next prime is 4164576901. The reversal of 4164576768 is 8676754614.

4164576768 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 576 + 7 + 68 = 666.

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

Its product of digits (6773760) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 23265703 + ... + 23265881.

It is an arithmetic number, because the mean of its divisors is an integer number (30162132).

Almost surely, 2^4164576768 is an apocalyptic number.

4164576768 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 4164576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238911680).

4164576768 is an abundant number, since it is smaller than the sum of its proper divisors (10313246592).

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

4164576768 is a wasteful number, since it uses less digits than its factorization.

4164576768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 212 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 4164576768 is about 64533.5321209059. The cubic root of 4164576768 is about 1608.8798926858.

The spelling of 4164576768 in words is "four billion, one hundred sixty-four million, five hundred seventy-six thousand, seven hundred sixty-eight".