4668414336 has 192 divisors, whose sum is σ = 14343713280. Its totient is φ = 1452294144.

The previous prime is 4668414293. The next prime is 4668414337. The reversal of 4668414336 is 6334148664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 4668414291 and 4668414300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668414337) by changing a digit.

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, 2486230 + ... + 2488106.

It is an arithmetic number, because the mean of its divisors is an integer number (74706840).

Almost surely, 2^4668414336 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 4668414336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171856640).

4668414336 is an abundant number, since it is smaller than the sum of its proper divisors (9675298944).

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

4668414336 is a wasteful number, since it uses less digits than its factorization.

4668414336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2026 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 4668414336 is about 68325.7955387275. The cubic root of 4668414336 is about 1671.3078948346.

The spelling of 4668414336 in words is "four billion, six hundred sixty-eight million, four hundred fourteen thousand, three hundred thirty-six".