6587468160 has 512 divisors, whose sum is σ = 26567654400. Its totient is φ = 1350991872.

The previous prime is 6587468081. The next prime is 6587468179. The reversal of 6587468160 is 618647856.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6464131 + ... + 6465149.

It is an arithmetic number, because the mean of its divisors is an integer number (51889950).

Almost surely, 2^6587468160 is an apocalyptic number.

6587468160 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 6587468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13283827200).

6587468160 is an abundant number, since it is smaller than the sum of its proper divisors (19980186240).

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

6587468160 is a wasteful number, since it uses less digits than its factorization.

6587468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 6587468160 is about 81163.2192560152. The cubic root of 6587468160 is about 1874.5894838162.

The spelling of 6587468160 in words is "six billion, five hundred eighty-seven million, four hundred sixty-eight thousand, one hundred sixty".