6543897984 has 320 divisors, whose sum is σ = 21439535040. Its totient is φ = 1968758784.

The previous prime is 6543897961. The next prime is 6543898001. The reversal of 6543897984 is 4897983456.

6543897984 is a `hidden beast` number, since 6 + 543 + 8 + 9 + 7 + 9 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6334332 + ... + 6335364.

It is an arithmetic number, because the mean of its divisors is an integer number (66998547).

Almost surely, 2^6543897984 is an apocalyptic number.

6543897984 is a gapful number since it is divisible by the number (64) 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 6543897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10719767520).

6543897984 is an abundant number, since it is smaller than the sum of its proper divisors (14895637056).

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

6543897984 is a wasteful number, since it uses less digits than its factorization.

6543897984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1098 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 6543897984 is about 80894.3631163507. The cubic root of 6543897984 is about 1870.4474306596.

The spelling of 6543897984 in words is "six billion, five hundred forty-three million, eight hundred ninety-seven thousand, nine hundred eighty-four".