4536544400 has 60 divisors (see below), whose sum is σ = 10962215412. Its totient is φ = 1804101120.

The previous prime is 4536544399. The next prime is 4536544417. The reversal of 4536544400 is 44456354.

It can be written as a sum of positive squares in 6 ways, for example, as 196897024 + 4339647376 = 14032^2 + 65876^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36422 + ... + 101978.

Almost surely, 2^4536544400 is an apocalyptic number.

4536544400 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 4536544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5481107706).

4536544400 is an abundant number, since it is smaller than the sum of its proper divisors (6425671012).

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

4536544400 is a wasteful number, since it uses less digits than its factorization.

4536544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65748 (or 65737 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The square root of 4536544400 is about 67353.8744245645. The cubic root of 4536544400 is about 1655.4207270914.

The spelling of 4536544400 in words is "four billion, five hundred thirty-six million, five hundred forty-four thousand, four hundred".