4768579424 has 96 divisors (see below), whose sum is σ = 11400238080. Its totient is φ = 1916725248.

The previous prime is 4768579421. The next prime is 4768579457. The reversal of 4768579424 is 4249758674.

It is a happy number.

Together with 6631658655 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 4768579424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768579421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167017 + ... + 1171095.

It is an arithmetic number, because the mean of its divisors is an integer number (118752480).

Almost surely, 2^4768579424 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 4768579424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700119040).

4768579424 is an abundant number, since it is smaller than the sum of its proper divisors (6631658656).

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

4768579424 is a wasteful number, since it uses less digits than its factorization.

4768579424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4420 (or 4412 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 56.

The square root of 4768579424 is about 69054.9015204569. The cubic root of 4768579424 is about 1683.1765560969.

The spelling of 4768579424 in words is "four billion, seven hundred sixty-eight million, five hundred seventy-nine thousand, four hundred twenty-four".