4767626304 has 315 divisors, whose sum is σ = 16561000533. Its totient is φ = 1352236032.

The previous prime is 4767626299. The next prime is 4767626309. The reversal of 4767626304 is 4036267674.

The square root of 4767626304 is 69048.

It is a perfect power (a square), and thus also a powerful number.

4767626304 is a `hidden beast` number, since 4 + 7 + 6 + 7 + 6 + 2 + 630 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4767626299) and next prime (4767626309).

It can be written as a sum of positive squares in only one way, i.e., 2800526400 + 1967099904 = 52920^2 + 44352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4767626304.

It is not an unprimeable number, because it can be changed into a prime (4767626309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 34800124 + ... + 34800260.

Almost surely, 2^4767626304 is an apocalyptic number.

4767626304 is the 69048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4767626304

4767626304 is an abundant number, since it is smaller than the sum of its proper divisors (11793374229).

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

4767626304 is an equidigital number, since it uses as much as digits as its factorization.

4767626304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The cubic root of 4767626304 is about 1683.0644069645.

The spelling of 4767626304 in words is "four billion, seven hundred sixty-seven million, six hundred twenty-six thousand, three hundred four".