5440668480 has 448 divisors, whose sum is σ = 21045830400. Its totient is φ = 1314938880.

The previous prime is 5440668473. The next prime is 5440668503. The reversal of 5440668480 is 848660445.

5440668480 is a `hidden beast` number, since 544 + 0 + 6 + 68 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6626470 + ... + 6627290.

It is an arithmetic number, because the mean of its divisors is an integer number (46977300).

Almost surely, 2^5440668480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5440668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10522915200).

5440668480 is an abundant number, since it is smaller than the sum of its proper divisors (15605161920).

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

5440668480 is a wasteful number, since it uses less digits than its factorization.

5440668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 5440668480 is about 73760.8871963997. The cubic root of 5440668480 is about 1758.8039049494.

The spelling of 5440668480 in words is "five billion, four hundred forty million, six hundred sixty-eight thousand, four hundred eighty".