4564254006 has 96 divisors (see below), whose sum is σ = 10931880960. Its totient is φ = 1367416512.

The previous prime is 4564253977. The next prime is 4564254007. The reversal of 4564254006 is 6004524654.

4564254006 is a `hidden beast` number, since 4 + 5 + 642 + 5 + 4 + 0 + 0 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4564254007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4819225 + ... + 4820171.

It is an arithmetic number, because the mean of its divisors is an integer number (113873760).

Almost surely, 2^4564254006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4564254006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465940480).

4564254006 is an abundant number, since it is smaller than the sum of its proper divisors (6367626954).

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

4564254006 is a wasteful number, since it uses less digits than its factorization.

4564254006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4564254006 is about 67559.2629178264. The cubic root of 4564254006 is about 1658.7843722598.

The spelling of 4564254006 in words is "four billion, five hundred sixty-four million, two hundred fifty-four thousand, six".