5599782720 has 420 divisors, whose sum is σ = 23176816740. Its totient is φ = 1279660032.

The previous prime is 5599782719. The next prime is 5599782761. The reversal of 5599782720 is 272879955.

5599782720 is a `hidden beast` number, since 5 + 599 + 7 + 8 + 27 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1106493696 + 4493289024 = 33264^2 + 67032^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×5599782720² = 62715133022421196800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1267876 + ... + 1272284.

It is an arithmetic number, because the mean of its divisors is an integer number (55182897).

Almost surely, 2^5599782720 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 5599782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11588408370).

5599782720 is an abundant number, since it is smaller than the sum of its proper divisors (17577034020).

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

5599782720 is a wasteful number, since it uses less digits than its factorization.

5599782720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4452 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 5599782720 is about 74831.6959583304. The cubic root of 5599782720 is about 1775.7850360713.

The spelling of 5599782720 in words is "five billion, five hundred ninety-nine million, seven hundred eighty-two thousand, seven hundred twenty".