5640806400 has 168 divisors, whose sum is σ = 18653159544. Its totient is φ = 1504051200.

The previous prime is 5640806387. The next prime is 5640806401. The reversal of 5640806400 is 46080465.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5640806401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 609810 + ... + 618990.

Almost surely, 2^5640806400 is an apocalyptic number.

5640806400 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 5640806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9326579772).

5640806400 is an abundant number, since it is smaller than the sum of its proper divisors (13012353144).

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

5640806400 is an equidigital number, since it uses as much as digits as its factorization.

5640806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5640806400 is about 75105.3020764846. The cubic root of 5640806400 is about 1780.1109218425.

Adding to 5640806400 its reverse (46080465), we get a palindrome (5686886865).

The spelling of 5640806400 in words is "five billion, six hundred forty million, eight hundred six thousand, four hundred".