4789057824 has 96 divisors (see below), whose sum is σ = 13980536640. Its totient is φ = 1594930176.

The previous prime is 4789057813. The next prime is 4789057829. The reversal of 4789057824 is 4287509874.

It is a happy number.

4789057824 is a `hidden beast` number, since 47 + 8 + 9 + 0 + 578 + 24 = 666.

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

It is a super-2 number, since 2×4789057824² = 45870149683231229952, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4789057829) 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, 1487064 + ... + 1490280.

It is an arithmetic number, because the mean of its divisors is an integer number (145630590).

Almost surely, 2^4789057824 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 4789057824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990268320).

4789057824 is an abundant number, since it is smaller than the sum of its proper divisors (9191478816).

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

4789057824 is a wasteful number, since it uses less digits than its factorization.

4789057824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4959 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 4789057824 is about 69203.0188936870. The cubic root of 4789057824 is about 1685.5825513778.

The spelling of 4789057824 in words is "four billion, seven hundred eighty-nine million, fifty-seven thousand, eight hundred twenty-four".