4657544064 has 192 divisors, whose sum is σ = 14013221040. Its totient is φ = 1539772416.

The previous prime is 4657544051. The next prime is 4657544107. The reversal of 4657544064 is 4604457564.

4657544064 is a `hidden beast` number, since 46 + 5 + 7 + 544 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4260702 + ... + 4261794.

Almost surely, 2^4657544064 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 4657544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006610520).

4657544064 is an abundant number, since it is smaller than the sum of its proper divisors (9355676976).

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

4657544064 is a wasteful number, since it uses less digits than its factorization.

4657544064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The square root of 4657544064 is about 68246.2018283802. The cubic root of 4657544064 is about 1670.0096888295.

The spelling of 4657544064 in words is "four billion, six hundred fifty-seven million, five hundred forty-four thousand, sixty-four".