5442305760 has 384 divisors, whose sum is σ = 19599390720. Its totient is φ = 1427673600.

The previous prime is 5442305753. The next prime is 5442305773. The reversal of 5442305760 is 675032445.

5442305760 is a `hidden beast` number, since 54 + 4 + 2 + 30 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 36041685 + ... + 36041835.

It is an arithmetic number, because the mean of its divisors is an integer number (51040080).

Almost surely, 2^5442305760 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 5442305760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9799695360).

5442305760 is an abundant number, since it is smaller than the sum of its proper divisors (14157084960).

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

5442305760 is a wasteful number, since it uses less digits than its factorization.

5442305760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 5442305760 is about 73771.9849265289. The cubic root of 5442305760 is about 1758.9803149902.

The spelling of 5442305760 in words is "five billion, four hundred forty-two million, three hundred five thousand, seven hundred sixty".