5565746400 has 144 divisors (see below), whose sum is σ = 18296672688. Its totient is φ = 1469440000.

The previous prime is 5565746387. The next prime is 5565746401. The reversal of 5565746400 is 46475655.

It is a super-2 number, since 2×5565746400² = 61955065978225920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5565746401) by changing a digit.

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, 230920 + ... + 253880.

It is an arithmetic number, because the mean of its divisors is an integer number (127060227).

Almost surely, 2^5565746400 is an apocalyptic number.

5565746400 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 5565746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9148336344).

5565746400 is an abundant number, since it is smaller than the sum of its proper divisors (12730926288).

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

5565746400 is a wasteful number, since it uses less digits than its factorization.

5565746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23085 (or 23072 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The square root of 5565746400 is about 74603.9301913780. The cubic root of 5565746400 is about 1772.1798926323.

The spelling of 5565746400 in words is "five billion, five hundred sixty-five million, seven hundred forty-six thousand, four hundred".