4523064000 has 896 divisors, whose sum is σ = 19526707200. Its totient is φ = 895795200.

The previous prime is 4523063999. The next prime is 4523064037. The reversal of 4523064000 is 4603254.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41495946 + ... + 41496054.

It is an arithmetic number, because the mean of its divisors is an integer number (21793200).

Almost surely, 2^4523064000 is an apocalyptic number.

4523064000 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 4523064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9763353600).

4523064000 is an abundant number, since it is smaller than the sum of its proper divisors (15003643200).

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

4523064000 is a wasteful number, since it uses less digits than its factorization.

4523064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4523064000 is about 67253.7285211757. The cubic root of 4523064000 is about 1653.7793989503.

Adding to 4523064000 its reverse (4603254), we get a palindrome (4527667254).

The spelling of 4523064000 in words is "four billion, five hundred twenty-three million, sixty-four thousand".