6487565584900 has 81 divisors (see below), whose sum is σ = 14581866046111. Its totient is φ = 2505257298880.

The previous prime is 6487565584897. The next prime is 6487565584931. The reversal of 6487565584900 is 94855657846.

The square root of 6487565584900 is 2547070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 89175098884 + 6398390486016 = 298622^2 + 2529504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 738645909 + ... + 738654691.

Almost surely, 2^{6487565584900} is an apocalyptic number.

6487565584900 is the 2547070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6487565584900

6487565584900 is an abundant number, since it is smaller than the sum of its proper divisors (8094300461211).

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

6487565584900 is an frugal number, since it uses more digits than its factorization.

6487565584900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17638 (or 8819 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 67.

The spelling of 6487565584900 in words is "six trillion, four hundred eighty-seven billion, five hundred sixty-five million, five hundred eighty-four thousand, nine hundred".