6543274400 has 108 divisors (see below), whose sum is σ = 17297396802. Its totient is φ = 2415928320.

The previous prime is 6543274349. The next prime is 6543274411. The reversal of 6543274400 is 44723456.

It can be written as a sum of positive squares in 9 ways, for example, as 2347024 + 6540927376 = 1532^2 + 80876^2 .

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 111002 + ... + 159398.

Almost surely, 2^6543274400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6543274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648698401).

6543274400 is an abundant number, since it is smaller than the sum of its proper divisors (10754122402).

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

6543274400 is a wasteful number, since it uses less digits than its factorization.

6543274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48443 (or 48417 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 6543274400 is about 80890.5087139400. The cubic root of 6543274400 is about 1870.3880156064.

Adding to 6543274400 its reverse (44723456), we get a palindrome (6587997856).

The spelling of 6543274400 in words is "six billion, five hundred forty-three million, two hundred seventy-four thousand, four hundred".