5304579840 has 360 divisors, whose sum is σ = 21695261280. Its totient is φ = 1212309504.

The previous prime is 5304579827. The next prime is 5304579871. The reversal of 5304579840 is 489754035.

5304579840 is a `hidden beast` number, since 5 + 30 + 4 + 579 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 722106 + ... + 729414.

Almost surely, 2^5304579840 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 5304579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10847630640).

5304579840 is an abundant number, since it is smaller than the sum of its proper divisors (16390681440).

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

5304579840 is an equidigital number, since it uses as much as digits as its factorization.

5304579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7349 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5304579840 is about 72832.5465708841. The cubic root of 5304579840 is about 1744.0154587189.

The spelling of 5304579840 in words is "five billion, three hundred four million, five hundred seventy-nine thousand, eight hundred forty".