4752566784 has 560 divisors, whose sum is σ = 17389297728. Its totient is φ = 1266057216.

The previous prime is 4752566773. The next prime is 4752566789. The reversal of 4752566784 is 4876652574.

It is a happy number.

4752566784 is a `hidden beast` number, since 4 + 7 + 5 + 2 + 566 + 78 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4752566784.

It is not an unprimeable number, because it can be changed into a prime (4752566789) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 44416459 + ... + 44416565.

It is a vampire number, since it can be written as 65484 ⋅ 72576 (with its own digits).

Almost surely, 2^4752566784 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 4752566784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8694648864).

4752566784 is an abundant number, since it is smaller than the sum of its proper divisors (12636730944).

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

4752566784 is an equidigital number, since it uses as much as digits as its factorization.

4752566784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 136 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 4752566784 is about 68938.8626538036. The cubic root of 4752566784 is about 1681.2904371105.

It can be divided in two parts, 4752 and 566784, that added together give a square (571536 = 756²).

The spelling of 4752566784 in words is "four billion, seven hundred fifty-two million, five hundred sixty-six thousand, seven hundred eighty-four".