5331744000 has 1080 divisors, whose sum is σ = 23091652584. Its totient is φ = 1216512000.

The previous prime is 5331743987. The next prime is 5331744029. The reversal of 5331744000 is 4471335.

It can be written as a sum of positive squares in 4 ways, for example, as 22581504 + 5309162496 = 4752^2 + 72864^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 313631992 + ... + 313632008.

Almost surely, 2^5331744000 is an apocalyptic number.

5331744000 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 5331744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545826292).

5331744000 is an abundant number, since it is smaller than the sum of its proper divisors (17759908584).

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

5331744000 is a wasteful number, since it uses less digits than its factorization.

5331744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5331744000 is about 73018.7921017597. The cubic root of 5331744000 is about 1746.9873609113.

The spelling of 5331744000 in words is "five billion, three hundred thirty-one million, seven hundred forty-four thousand".