5609721600 has 324 divisors, whose sum is σ = 22922814096. Its totient is φ = 1282129920.

The previous prime is 5609721599. The next prime is 5609721617. The reversal of 5609721600 is 61279065.

5609721600 is a `hidden beast` number, since 560 + 97 + 2 + 1 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 396244 + ... + 410156.

Almost surely, 2^5609721600 is an apocalyptic number.

5609721600 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 5609721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461407048).

5609721600 is an abundant number, since it is smaller than the sum of its proper divisors (17313092496).

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

5609721600 is a wasteful number, since it uses less digits than its factorization.

5609721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13952 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5609721600 is about 74898.0747416113. The cubic root of 5609721600 is about 1776.8350103177.

The spelling of 5609721600 in words is "five billion, six hundred nine million, seven hundred twenty-one thousand, six hundred".