5079613440 has 240 divisors, whose sum is σ = 17741364480. Its totient is φ = 1230766080.

The previous prime is 5079613417. The next prime is 5079613471. The reversal of 5079613440 is 443169705.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×5079613440³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2702421 + ... + 2704299.

It is an arithmetic number, because the mean of its divisors is an integer number (73922352).

Almost surely, 2^5079613440 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 5079613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8870682240).

5079613440 is an abundant number, since it is smaller than the sum of its proper divisors (12661751040).

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

5079613440 is a wasteful number, since it uses less digits than its factorization.

5079613440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 5079613440 is about 71271.4068894392. The cubic root of 5079613440 is about 1719.0040024124.

The spelling of 5079613440 in words is "five billion, seventy-nine million, six hundred thirteen thousand, four hundred forty".