5577665320 has 96 divisors (see below), whose sum is σ = 13413259800. Its totient is φ = 2086940672.

The previous prime is 5577665299. The next prime is 5577665413. The reversal of 5577665320 is 235667755.

It can be written as a sum of positive squares in 12 ways, for example, as 3542392324 + 2035272996 = 59518^2 + 45114^2 .

It is a super-2 number, since 2×5577665320² = 62220700843861404800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1998486 + ... + 2001274.

Almost surely, 2^5577665320 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 5577665320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706629900).

5577665320 is an abundant number, since it is smaller than the sum of its proper divisors (7835594480).

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

5577665320 is a wasteful number, since it uses less digits than its factorization.

5577665320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 46.

The square root of 5577665320 is about 74683.7687854597. The cubic root of 5577665320 is about 1773.4440184115. Note that the first 3 decimals are identical.

The spelling of 5577665320 in words is "five billion, five hundred seventy-seven million, six hundred sixty-five thousand, three hundred twenty".