4678873248 has 96 divisors (see below), whose sum is σ = 14074421760. Its totient is φ = 1333221120.

The previous prime is 4678873247. The next prime is 4678873259. The reversal of 4678873248 is 8423788764.

It is a tau number, because it is divible by the number of its divisors (96).

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 (4678873247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245503 + ... + 263873.

It is an arithmetic number, because the mean of its divisors is an integer number (146608560).

Almost surely, 2^4678873248 is an apocalyptic number.

4678873248 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 4678873248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037210880).

4678873248 is an abundant number, since it is smaller than the sum of its proper divisors (9395548512).

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

4678873248 is a wasteful number, since it uses less digits than its factorization.

4678873248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18770 (or 18762 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 57.

The square root of 4678873248 is about 68402.2897862345. The cubic root of 4678873248 is about 1672.5550723776. Note that the first 3 decimals are identical.

The spelling of 4678873248 in words is "four billion, six hundred seventy-eight million, eight hundred seventy-three thousand, two hundred forty-eight".