4564332000 has 288 divisors, whose sum is σ = 17053938720. Its totient is φ = 1152921600.

The previous prime is 4564331983. The next prime is 4564332119. The reversal of 4564332000 is 2334654.

4564332000 is a `hidden beast` number, since 456 + 4 + 3 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680664 + ... + 687336.

It is an arithmetic number, because the mean of its divisors is an integer number (59215065).

Almost surely, 2^4564332000 is an apocalyptic number.

4564332000 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 4564332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526969360).

4564332000 is an abundant number, since it is smaller than the sum of its proper divisors (12489606720).

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

4564332000 is a wasteful number, since it uses less digits than its factorization.

4564332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4564332000 is about 67559.8401419068. The cubic root of 4564332000 is about 1658.7938206451.

Adding to 4564332000 its reverse (2334654), we get a palindrome (4566666654).

The spelling of 4564332000 in words is "four billion, five hundred sixty-four million, three hundred thirty-two thousand".