4536205200 has 480 divisors, whose sum is σ = 17668869120. Its totient is φ = 1100390400.

The previous prime is 4536205127. The next prime is 4536205211. The reversal of 4536205200 is 25026354.

4536205200 is a `hidden beast` number, since 453 + 6 + 2 + 0 + 5 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5691202 + ... + 5691998.

It is an arithmetic number, because the mean of its divisors is an integer number (36810144).

Almost surely, 2^4536205200 is an apocalyptic number.

4536205200 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 4536205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8834434560).

4536205200 is an abundant number, since it is smaller than the sum of its proper divisors (13132663920).

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

4536205200 is a wasteful number, since it uses less digits than its factorization.

4536205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4536205200 is about 67351.3563337814. The cubic root of 4536205200 is about 1655.3794671472.

The spelling of 4536205200 in words is "four billion, five hundred thirty-six million, two hundred five thousand, two hundred".