5577490320 has 160 divisors (see below), whose sum is σ = 17482881024. Its totient is φ = 1470873600.

The previous prime is 5577490319. The next prime is 5577490349. The reversal of 5577490320 is 230947755.

It is a super-2 number, since 2×5577490320² = 62216796539387404800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12880824 + ... + 12881256.

Almost surely, 2^5577490320 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 5577490320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8741440512).

5577490320 is an abundant number, since it is smaller than the sum of its proper divisors (11905390704).

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

5577490320 is a wasteful number, since it uses less digits than its factorization.

5577490320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 5577490320 is about 74682.5971696218. The cubic root of 5577490320 is about 1773.4254708693.

The spelling of 5577490320 in words is "five billion, five hundred seventy-seven million, four hundred ninety thousand, three hundred twenty".