5636304000 has 320 divisors, whose sum is σ = 20938203000. Its totient is φ = 1502668800.

The previous prime is 5636303983. The next prime is 5636304013. The reversal of 5636304000 is 4036365.

5636304000 is a `hidden beast` number, since 563 + 63 + 0 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 358572096 + 5277731904 = 18936^2 + 72648^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 1293826 + ... + 1298174.

Almost surely, 2^5636304000 is an apocalyptic number.

5636304000 is a gapful number since it is divisible by the number (50) 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 5636304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10469101500).

5636304000 is an abundant number, since it is smaller than the sum of its proper divisors (15301899000).

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

5636304000 is an equidigital number, since it uses as much as digits as its factorization.

5636304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4359 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5636304000 is about 75075.3221771309. The cubic root of 5636304000 is about 1779.6371772386.

The spelling of 5636304000 in words is "five billion, six hundred thirty-six million, three hundred four thousand".