6587707680 has 72 divisors (see below), whose sum is σ = 22480557372. Its totient is φ = 1756721664.

The previous prime is 6587707673. The next prime is 6587707727. The reversal of 6587707680 is 867077856.

It can be written as a sum of positive squares in 2 ways, for example, as 6586296336 + 1411344 = 81156^2 + 1188^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 2285959 + ... + 2288838.

Almost surely, 2^6587707680 is an apocalyptic number.

6587707680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6587707680 is an abundant number, since it is smaller than the sum of its proper divisors (15892849692).

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

6587707680 is a wasteful number, since it uses less digits than its factorization.

6587707680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574818 (or 4574807 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The square root of 6587707680 is about 81164.6947878202. The cubic root of 6587707680 is about 1874.6122035329.

The spelling of 6587707680 in words is "six billion, five hundred eighty-seven million, seven hundred seven thousand, six hundred eighty".