4541664600 has 384 divisors, whose sum is σ = 17209612800. Its totient is φ = 1091750400.

The previous prime is 4541664581. The next prime is 4541664619. The reversal of 4541664600 is 64661454.

4541664600 is a `hidden beast` number, since 4 + 5 + 4 + 1 + 6 + 646 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4541664581) and next prime (4541664619).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 9325557 + ... + 9326043.

It is an arithmetic number, because the mean of its divisors is an integer number (44816700).

Almost surely, 2^4541664600 is an apocalyptic number.

4541664600 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 4541664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8604806400).

4541664600 is an abundant number, since it is smaller than the sum of its proper divisors (12667948200).

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

4541664600 is a wasteful number, since it uses less digits than its factorization.

4541664600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4541664600 is about 67391.8733973170. The cubic root of 4541664600 is about 1656.0432933441.

The spelling of 4541664600 in words is "four billion, five hundred forty-one million, six hundred sixty-four thousand, six hundred".