4758257664 has 270 divisors, whose sum is σ = 14604841706. Its totient is φ = 1492254720.

The previous prime is 4758257663. The next prime is 4758257711. The reversal of 4758257664 is 4667528574.

It is a happy number.

4758257664 is a `hidden beast` number, since 4 + 7 + 5 + 8 + 2 + 576 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2808152064 + 1950105600 = 52992^2 + 44160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4758257664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4758257663) 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 17 ways as a sum of consecutive naturals, for example, 78004194 + ... + 78004254.

Almost surely, 2^4758257664 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 4758257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302420853).

4758257664 is an abundant number, since it is smaller than the sum of its proper divisors (9846584042).

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

4758257664 is an equidigital number, since it uses as much as digits as its factorization.

4758257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 89 counting only the distinct ones).

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

The square root of 4758257664 is about 68980.1251376076. The cubic root of 4758257664 is about 1681.9612469469.

The spelling of 4758257664 in words is "four billion, seven hundred fifty-eight million, two hundred fifty-seven thousand, six hundred sixty-four".