5579382480 has 320 divisors, whose sum is σ = 20570112000. Its totient is φ = 1224161280.

The previous prime is 5579382467. The next prime is 5579382491. The reversal of 5579382480 is 842839755.

It is a super-2 number, since 2×5579382480² = 62259017716261900800, which contains 22 as substring.

It is a congruent number.

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, 7759561 + ... + 7760279.

It is an arithmetic number, because the mean of its divisors is an integer number (64281600).

Almost surely, 2^5579382480 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 5579382480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285056000).

5579382480 is an abundant number, since it is smaller than the sum of its proper divisors (14990729520).

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

5579382480 is a wasteful number, since it uses less digits than its factorization.

5579382480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The square root of 5579382480 is about 74695.2641069031. The cubic root of 5579382480 is about 1773.6259926784.

The spelling of 5579382480 in words is "five billion, five hundred seventy-nine million, three hundred eighty-two thousand, four hundred eighty".