5579368704 has 648 divisors, whose sum is σ = 21006760320. Its totient is φ = 1391689728.

The previous prime is 5579368693. The next prime is 5579368709. The reversal of 5579368704 is 4078639755.

5579368704 is a `hidden beast` number, since 5 + 579 + 3 + 68 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×5579368704² = 62258710270349279232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5579368709) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62689492 + ... + 62689580.

It is an arithmetic number, because the mean of its divisors is an integer number (32417840).

Almost surely, 2^5579368704 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 5579368704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503380160).

5579368704 is an abundant number, since it is smaller than the sum of its proper divisors (15427391616).

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

5579368704 is a wasteful number, since it uses less digits than its factorization.

5579368704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 5579368704 is about 74695.1718921645. The cubic root of 5579368704 is about 1773.6245329295.

The spelling of 5579368704 in words is "five billion, five hundred seventy-nine million, three hundred sixty-eight thousand, seven hundred four".