6540583680 has 144 divisors (see below), whose sum is σ = 23210110560. Its totient is φ = 1744146432.

The previous prime is 6540583661. The next prime is 6540583691. The reversal of 6540583680 is 863850456.

6540583680 is a `hidden beast` number, since 6 + 5 + 4 + 0 + 583 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60067 + ... + 129186.

Almost surely, 2^6540583680 is an apocalyptic number.

6540583680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6540583680 is an abundant number, since it is smaller than the sum of its proper divisors (16669526880).

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

6540583680 is a wasteful number, since it uses less digits than its factorization.

6540583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189283 (or 189263 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6540583680 is about 80873.8751390089. The cubic root of 6540583680 is about 1870.1316006405.

The spelling of 6540583680 in words is "six billion, five hundred forty million, five hundred eighty-three thousand, six hundred eighty".