6541982880 has 48 divisors (see below), whose sum is σ = 20607247584. Its totient is φ = 1744528640.

The previous prime is 6541982873. The next prime is 6541982899. The reversal of 6541982880 is 882891456.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6814086 + ... + 6815045.

It is an arithmetic number, because the mean of its divisors is an integer number (429317658).

Almost surely, 2^6541982880 is an apocalyptic number.

6541982880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6541982880 is an abundant number, since it is smaller than the sum of its proper divisors (14065264704).

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

6541982880 is a wasteful number, since it uses less digits than its factorization.

6541982880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13629149 (or 13629141 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The square root of 6541982880 is about 80882.5251831321. The cubic root of 6541982880 is about 1870.2649476369.

The spelling of 6541982880 in words is "six billion, five hundred forty-one million, nine hundred eighty-two thousand, eight hundred eighty".