4681668096 has 240 divisors, whose sum is σ = 16256697600. Its totient is φ = 1267052544.

The previous prime is 4681668071. The next prime is 4681668119. The reversal of 4681668096 is 6908661864.

4681668096 is a `hidden beast` number, since 468 + 16 + 6 + 80 + 96 = 666.

It is a super-2 number, since 2×4681668096² = 43836032322208530432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 609045 + ... + 616683.

It is an arithmetic number, because the mean of its divisors is an integer number (67736240).

Almost surely, 2^4681668096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4681668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8128348800).

4681668096 is an abundant number, since it is smaller than the sum of its proper divisors (11575029504).

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

4681668096 is a wasteful number, since it uses less digits than its factorization.

4681668096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7689 (or 7670 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4681668096 is about 68422.7162278727. The cubic root of 4681668096 is about 1672.8880305142. Note that the first 3 decimals are identical.

The spelling of 4681668096 in words is "four billion, six hundred eighty-one million, six hundred sixty-eight thousand, ninety-six".