5579803680 has 288 divisors, whose sum is σ = 20164298112. Its totient is φ = 1293557760.

The previous prime is 5579803679. The next prime is 5579803687. The reversal of 5579803680 is 863089755.

It is a super-2 number, since 2×5579803680² = 62268418214683084800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5579803687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1333752 + ... + 1337928.

It is an arithmetic number, because the mean of its divisors is an integer number (70014924).

Almost surely, 2^5579803680 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 5579803680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10082149056).

5579803680 is an abundant number, since it is smaller than the sum of its proper divisors (14584494432).

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

5579803680 is a wasteful number, since it uses less digits than its factorization.

5579803680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 5579803680 is about 74698.0835095520. The cubic root of 5579803680 is about 1773.6706232131.

The spelling of 5579803680 in words is "five billion, five hundred seventy-nine million, eight hundred three thousand, six hundred eighty".