5577634560 has 216 divisors, whose sum is σ = 18325285776. Its totient is φ = 1445806080.

The previous prime is 5577634529. The next prime is 5577634609. The reversal of 5577634560 is 654367755.

It is a super-2 number, since 2×5577634560² = 62220014569812787200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5256430 + ... + 5257490.

It is an arithmetic number, because the mean of its divisors is an integer number (84839286).

Almost surely, 2^5577634560 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 5577634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9162642888).

5577634560 is an abundant number, since it is smaller than the sum of its proper divisors (12747651216).

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

5577634560 is a wasteful number, since it uses less digits than its factorization.

5577634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 48.

The square root of 5577634560 is about 74683.5628502015. The cubic root of 5577634560 is about 1773.4407583116.

The spelling of 5577634560 in words is "five billion, five hundred seventy-seven million, six hundred thirty-four thousand, five hundred sixty".