4457321568 has 384 divisors, whose sum is σ = 15869952000. Its totient is φ = 1188794880.

The previous prime is 4457321537. The next prime is 4457321573. The reversal of 4457321568 is 8651237544.

4457321568 is a `hidden beast` number, since 4 + 4 + 57 + 32 + 1 + 568 = 666.

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 63 ways as a sum of consecutive naturals, for example, 9077803 + ... + 9078293.

It is an arithmetic number, because the mean of its divisors is an integer number (41328000).

Almost surely, 2^4457321568 is an apocalyptic number.

4457321568 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 4457321568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7934976000).

4457321568 is an abundant number, since it is smaller than the sum of its proper divisors (11412630432).

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

4457321568 is a wasteful number, since it uses less digits than its factorization.

4457321568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 601 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 4457321568 is about 66763.1752390493. The cubic root of 4457321568 is about 1645.7277376753.

The spelling of 4457321568 in words is "four billion, four hundred fifty-seven million, three hundred twenty-one thousand, five hundred sixty-eight".