5444608000 has 224 divisors, whose sum is σ = 14669993520. Its totient is φ = 2005401600.

The previous prime is 5444607977. The next prime is 5444608067. The reversal of 5444608000 is 8064445.

It can be written as a sum of positive squares in 8 ways, for example, as 279023616 + 5165584384 = 16704^2 + 71872^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13311796 + ... + 13312204.

Almost surely, 2^5444608000 is an apocalyptic number.

5444608000 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 5444608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7334996760).

5444608000 is an abundant number, since it is smaller than the sum of its proper divisors (9225385520).

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

5444608000 is an equidigital number, since it uses as much as digits as its factorization.

5444608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 5444608000 is about 73787.5870319663. The cubic root of 5444608000 is about 1759.2283118334.

The spelling of 5444608000 in words is "five billion, four hundred forty-four million, six hundred eight thousand".