4678239888 has 480 divisors, whose sum is σ = 16682265600. Its totient is φ = 1239556608.

The previous prime is 4678239887. The next prime is 4678239899. The reversal of 4678239888 is 8889328764.

4678239888 is a `hidden beast` number, since 467 + 8 + 2 + 3 + 98 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (4678239887) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 42919578 + ... + 42919686.

It is an arithmetic number, because the mean of its divisors is an integer number (34754720).

Almost surely, 2^4678239888 is an apocalyptic number.

4678239888 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 4678239888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8341132800).

4678239888 is an abundant number, since it is smaller than the sum of its proper divisors (12004025712).

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

4678239888 is a wasteful number, since it uses less digits than its factorization.

4678239888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 4678239888 is about 68397.6599599723. The cubic root of 4678239888 is about 1672.4795999844.

The spelling of 4678239888 in words is "four billion, six hundred seventy-eight million, two hundred thirty-nine thousand, eight hundred eighty-eight".