5442768000 has 512 divisors, whose sum is σ = 20583763200. Its totient is φ = 1412812800.

The previous prime is 5442767989. The next prime is 5442768013. The reversal of 5442768000 is 8672445.

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

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, 18575854 + ... + 18576146.

Almost surely, 2^5442768000 is an apocalyptic number.

5442768000 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 5442768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10291881600).

5442768000 is an abundant number, since it is smaller than the sum of its proper divisors (15140995200).

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

5442768000 is a wasteful number, since it uses less digits than its factorization.

5442768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5442768000 is about 73775.1177565987. The cubic root of 5442768000 is about 1759.0301130034.

The spelling of 5442768000 in words is "five billion, four hundred forty-two million, seven hundred sixty-eight thousand".