4657320576 has 96 divisors (see below), whose sum is σ = 13585758420. Its totient is φ = 1531146240.

The previous prime is 4657320559. The next prime is 4657320581. The reversal of 4657320576 is 6750237564.

4657320576 is a `hidden beast` number, since 4 + 6 + 5 + 73 + 2 + 0 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4195930176 + 461390400 = 64776^2 + 21480^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 56406 + ... + 111786.

Almost surely, 2^4657320576 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 4657320576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6792879210).

4657320576 is an abundant number, since it is smaller than the sum of its proper divisors (8928437844).

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

4657320576 is a wasteful number, since it uses less digits than its factorization.

4657320576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55474 (or 55459 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The square root of 4657320576 is about 68244.5644428917. The cubic root of 4657320576 is about 1669.9829771055.

The spelling of 4657320576 in words is "four billion, six hundred fifty-seven million, three hundred twenty thousand, five hundred seventy-six".