4564637064 has 320 divisors, whose sum is σ = 14717472000. Its totient is φ = 1313739648.

The previous prime is 4564637057. The next prime is 4564637081. The reversal of 4564637064 is 4607364654.

It is a happy number.

4564637064 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 637 + 0 + 6 + 4 = 666.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 57780177 + ... + 57780255.

It is an arithmetic number, because the mean of its divisors is an integer number (45992100).

Almost surely, 2^4564637064 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 4564637064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358736000).

4564637064 is an abundant number, since it is smaller than the sum of its proper divisors (10152834936).

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

4564637064 is a wasteful number, since it uses less digits than its factorization.

4564637064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The square root of 4564637064 is about 67562.0978359909. The cubic root of 4564637064 is about 1658.8307758158.

The spelling of 4564637064 in words is "four billion, five hundred sixty-four million, six hundred thirty-seven thousand, sixty-four".