6543003456 has 168 divisors, whose sum is σ = 20765987424. Its totient is φ = 1953008640.

The previous prime is 6543003451. The next prime is 6543003463.

6543003456 is a `hidden beast` number, since 6 + 5 + 4 + 300 + 345 + 6 = 666.

6543003456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6543003456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6543003451) 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, 416806 + ... + 432218.

It is an arithmetic number, because the mean of its divisors is an integer number (123607068).

Almost surely, 2^6543003456 is an apocalyptic number.

6543003456 is a gapful number since it is divisible by the number (66) 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 6543003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10382993712).

6543003456 is an abundant number, since it is smaller than the sum of its proper divisors (14222983968).

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

6543003456 is a wasteful number, since it uses less digits than its factorization.

6543003456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15509 (or 15496 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 6543003456 is about 80888.8339389313. The cubic root of 6543003456 is about 1870.3621988988.

It can be divided in two parts, 654300 and 3456, that added together give a palindrome (657756).

The spelling of 6543003456 in words is "six billion, five hundred forty-three million, three thousand, four hundred fifty-six".