4671883008 has 432 divisors, whose sum is σ = 15468092640. Its totient is φ = 1397440512.

The previous prime is 4671883003. The next prime is 4671883019. The reversal of 4671883008 is 8003881764.

4671883008 is a `hidden beast` number, since 467 + 188 + 3 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4671883003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42861258 + ... + 42861366.

It is an arithmetic number, because the mean of its divisors is an integer number (35805770).

Almost surely, 2^4671883008 is an apocalyptic number.

4671883008 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 4671883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734046320).

4671883008 is an abundant number, since it is smaller than the sum of its proper divisors (10796209632).

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

4671883008 is a wasteful number, since it uses less digits than its factorization.

4671883008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4671883008 is about 68351.1741523143. The cubic root of 4671883008 is about 1671.7217244049.

The spelling of 4671883008 in words is "four billion, six hundred seventy-one million, eight hundred eighty-three thousand, eight".