5578320960 has 560 divisors, whose sum is σ = 21420368640. Its totient is φ = 1373552640.

The previous prime is 5578320931. The next prime is 5578320961. The reversal of 5578320960 is 690238755.

It is a happy number.

5578320960 is a `hidden beast` number, since 557 + 8 + 3 + 2 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×5578320960² = 62235329465550643200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5578320961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23146440 + ... + 23146680.

Almost surely, 2^5578320960 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 5578320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710184320).

5578320960 is an abundant number, since it is smaller than the sum of its proper divisors (15842047680).

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

5578320960 is a wasteful number, since it uses less digits than its factorization.

5578320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5578320960 is about 74688.1580975190. The cubic root of 5578320960 is about 1773.5135035941.

The spelling of 5578320960 in words is "five billion, five hundred seventy-eight million, three hundred twenty thousand, nine hundred sixty".