4566006000 has 480 divisors, whose sum is σ = 17110154880. Its totient is φ = 1132032000.

The previous prime is 4566005989. The next prime is 4566006017. The reversal of 4566006000 is 6006654.

4566006000 is a `hidden beast` number, since 4 + 56 + 6 + 0 + 0 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16973866 + ... + 16974134.

It is an arithmetic number, because the mean of its divisors is an integer number (35646156).

Almost surely, 2^4566006000 is an apocalyptic number.

4566006000 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 4566006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8555077440).

4566006000 is an abundant number, since it is smaller than the sum of its proper divisors (12544148880).

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

4566006000 is a wasteful number, since it uses less digits than its factorization.

4566006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4566006000 is about 67572.2280230569. The cubic root of 4566006000 is about 1658.9965871874.

The spelling of 4566006000 in words is "four billion, five hundred sixty-six million, six thousand".