4687248384 has 704 divisors, whose sum is σ = 18047662080. Its totient is φ = 1182449664.

The previous prime is 4687248343. The next prime is 4687248389. The reversal of 4687248384 is 4838427864.

It is a happy number.

4687248384 is a `hidden beast` number, since 4 + 6 + 87 + 2 + 483 + 84 = 666.

It is a super-2 number, since 2×4687248384² = 43940594826621222912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (8257536) is a multiple of the sum of its prime divisors (48).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 4687248384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4687248389) 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 63 ways as a sum of consecutive naturals, for example, 203793397 + ... + 203793419.

Almost surely, 2^4687248384 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 4687248384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9023831040).

4687248384 is an abundant number, since it is smaller than the sum of its proper divisors (13360413696).

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

4687248384 is an equidigital number, since it uses as much as digits as its factorization.

4687248384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The square root of 4687248384 is about 68463.4821200324. The cubic root of 4687248384 is about 1673.5524297734.

The spelling of 4687248384 in words is "four billion, six hundred eighty-seven million, two hundred forty-eight thousand, three hundred eighty-four".