6543751680 has 240 divisors, whose sum is σ = 22796826624. Its totient is φ = 1734696960.

The previous prime is 6543751663. The next prime is 6543751717. The reversal of 6543751680 is 861573456.

6543751680 is a `hidden beast` number, since 6 + 54 + 3 + 7 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×6543751680⁴ (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 4399897 + ... + 4401383.

Almost surely, 2^6543751680 is an apocalyptic number.

6543751680 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 6543751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11398413312).

6543751680 is an abundant number, since it is smaller than the sum of its proper divisors (16253074944).

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

6543751680 is a wasteful number, since it uses less digits than its factorization.

6543751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 6543751680 is about 80893.4588208466. The cubic root of 6543751680 is about 1870.4334911605.

The spelling of 6543751680 in words is "six billion, five hundred forty-three million, seven hundred fifty-one thousand, six hundred eighty".