5769561600 has 720 divisors, whose sum is σ = 23449860720. Its totient is φ = 1341849600.

The previous prime is 5769561599. The next prime is 5769561607. The reversal of 5769561600 is 61659675.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5769561607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36748722 + ... + 36748878.

It is an arithmetic number, because the mean of its divisors is an integer number (32569251).

Almost surely, 2^5769561600 is an apocalyptic number.

5769561600 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 5769561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11724930360).

5769561600 is an abundant number, since it is smaller than the sum of its proper divisors (17680299120).

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

5769561600 is a wasteful number, since it uses less digits than its factorization.

5769561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 5769561600 is about 75957.6302947900. The cubic root of 5769561600 is about 1793.5532345364.

The spelling of 5769561600 in words is "five billion, seven hundred sixty-nine million, five hundred sixty-one thousand, six hundred".