6543663456 has 192 divisors, whose sum is σ = 19087439616. Its totient is φ = 1946419200.

The previous prime is 6543663437. The next prime is 6543663481.

6543663456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19769211 + ... + 19769541.

It is an arithmetic number, because the mean of its divisors is an integer number (99413748).

Almost surely, 2^6543663456 is an apocalyptic number.

6543663456 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 6543663456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9543719808).

6543663456 is an abundant number, since it is smaller than the sum of its proper divisors (12543776160).

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

6543663456 is a wasteful number, since it uses less digits than its factorization.

6543663456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 48.

The square root of 6543663456 is about 80892.9135091573. The cubic root of 6543663456 is about 1870.4250852860.

The spelling of 6543663456 in words is "six billion, five hundred forty-three million, six hundred sixty-three thousand, four hundred fifty-six".