4564345640 has 64 divisors (see below), whose sum is σ = 10888635600. Its totient is φ = 1716011008.

The previous prime is 4564345619. The next prime is 4564345693. The reversal of 4564345640 is 465434654.

It can be written as a sum of positive squares in 8 ways, for example, as 4470527044 + 93818596 = 66862^2 + 9686^2 .

It is a super-2 number, since 2×4564345640² = 41666502242774019200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 545972 + ... + 554268.

Almost surely, 2^4564345640 is an apocalyptic number.

4564345640 is a gapful number since it is divisible by the number (40) 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 4564345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444317800).

4564345640 is an abundant number, since it is smaller than the sum of its proper divisors (6324289960).

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

4564345640 is a wasteful number, since it uses less digits than its factorization.

4564345640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9134 (or 9130 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

The square root of 4564345640 is about 67559.9410893763. The cubic root of 4564345640 is about 1658.7954730173.

The spelling of 4564345640 in words is "four billion, five hundred sixty-four million, three hundred forty-five thousand, six hundred forty".