4541643600 has 240 divisors, whose sum is σ = 16209379200. Its totient is φ = 1079285760.

The previous prime is 4541643593. The next prime is 4541643643. The reversal of 4541643600 is 63461454.

It is a tau number, because it is divible by the number of its divisors (240).

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, 447381 + ... + 457419.

It is an arithmetic number, because the mean of its divisors is an integer number (67539080).

Almost surely, 2^4541643600 is an apocalyptic number.

4541643600 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 4541643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104689600).

4541643600 is an abundant number, since it is smaller than the sum of its proper divisors (11667735600).

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

4541643600 is a wasteful number, since it uses less digits than its factorization.

4541643600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10102 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4541643600 is about 67391.7175920009. The cubic root of 4541643600 is about 1656.0407409053.

The spelling of 4541643600 in words is "four billion, five hundred forty-one million, six hundred forty-three thousand, six hundred".