6540206400 has 1512 divisors, whose sum is σ = 31366992384. Its totient is φ = 1277337600.

The previous prime is 6540206399. The next prime is 6540206401. The reversal of 6540206400 is 46020456.

It is a happy number.

6540206400 is a `hidden beast` number, since 6 + 54 + 0 + 206 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (6540206399) and next prime (6540206401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6540206401) 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 215 ways as a sum of consecutive naturals, for example, 210974385 + ... + 210974415.

Almost surely, 2^6540206400 is an apocalyptic number.

6540206400 is a gapful number since it is divisible by the number (60) 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 6540206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683496192).

6540206400 is an abundant number, since it is smaller than the sum of its proper divisors (24826785984).

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

6540206400 is a wasteful number, since it uses less digits than its factorization.

6540206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6540206400 is about 80871.5425845210. The cubic root of 6540206400 is about 1870.0956417286.

Adding to 6540206400 its reverse (46020456), we get a palindrome (6586226856).

The spelling of 6540206400 in words is "six billion, five hundred forty million, two hundred six thousand, four hundred".