5609732800 has 168 divisors, whose sum is σ = 16202928224. Its totient is φ = 1871216640.

The previous prime is 5609732761. The next prime is 5609732833. The reversal of 5609732800 is 82379065.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 23 ways as a sum of consecutive naturals, for example, 407632 + ... + 421168.

Almost surely, 2^5609732800 is an apocalyptic number.

5609732800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5609732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8101464112).

5609732800 is an abundant number, since it is smaller than the sum of its proper divisors (10593195424).

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

5609732800 is a wasteful number, since it uses less digits than its factorization.

5609732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13603 (or 13588 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 5609732800 is about 74898.1495098510. The cubic root of 5609732800 is about 1776.8361928207.

The spelling of 5609732800 in words is "five billion, six hundred nine million, seven hundred thirty-two thousand, eight hundred".