5479816320 has 512 divisors, whose sum is σ = 21432729600. Its totient is φ = 1312174080.

The previous prime is 5479816313. The next prime is 5479816343. The reversal of 5479816320 is 236189745.

5479816320 is a `hidden beast` number, since 5 + 4 + 7 + 9 + 8 + 1 + 632 + 0 = 666.

5479816320 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

5479816320 is strictly pandigital in base 10.

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, 24140047 + ... + 24140273.

It is an arithmetic number, because the mean of its divisors is an integer number (41860800).

It is a 1-persistent number, because it is pandigital, but 2⋅5479816320 = 10959632640 is not.

Almost surely, 2^5479816320 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 5479816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716364800).

5479816320 is an abundant number, since it is smaller than the sum of its proper divisors (15952913280).

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

5479816320 is a wasteful number, since it uses less digits than its factorization.

5479816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5479816320 is about 74025.7814548418. The cubic root of 5479816320 is about 1763.0122657642.

The spelling of 5479816320 in words is "five billion, four hundred seventy-nine million, eight hundred sixteen thousand, three hundred twenty".