4508275968 has 756 divisors, whose sum is σ = 17191337940. Its totient is φ = 1170505728.

The previous prime is 4508275927. The next prime is 4508275979. The reversal of 4508275968 is 8695728054.

4508275968 is a `hidden beast` number, since 4 + 508 + 2 + 75 + 9 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2962842624 + 1545433344 = 54432^2 + 39312^2 .

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 155457778 + ... + 155457806.

It is an arithmetic number, because the mean of its divisors is an integer number (22739865).

Almost surely, 2^4508275968 is an apocalyptic number.

4508275968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4508275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595668970).

4508275968 is an abundant number, since it is smaller than the sum of its proper divisors (12683061972).

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

4508275968 is an equidigital number, since it uses as much as digits as its factorization.

4508275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 4508275968 is about 67143.6964129917. The cubic root of 4508275968 is about 1651.9751025645.

The spelling of 4508275968 in words is "four billion, five hundred eight million, two hundred seventy-five thousand, nine hundred sixty-eight".