5456816640 has 320 divisors, whose sum is σ = 21148110720. Its totient is φ = 1322680320.

The previous prime is 5456816627. The next prime is 5456816641. The reversal of 5456816640 is 466186545.

5456816640 is a `hidden beast` number, since 545 + 6 + 8 + 1 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5456816641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756732 + ... + 763908.

It is an arithmetic number, because the mean of its divisors is an integer number (66087846).

Almost surely, 2^5456816640 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 5456816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10574055360).

5456816640 is an abundant number, since it is smaller than the sum of its proper divisors (15691294080).

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

5456816640 is a wasteful number, since it uses less digits than its factorization.

5456816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7220 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 5456816640 is about 73870.2689855669. The cubic root of 5456816640 is about 1760.5422571555.

The spelling of 5456816640 in words is "five billion, four hundred fifty-six million, eight hundred sixteen thousand, six hundred forty".