6487861048384 has 63 divisors (see below), whose sum is σ = 13334815302757. Its totient is φ = 3131785572608.

The previous prime is 6487861048369. The next prime is 6487861048429. The reversal of 6487861048384 is 4838401687846.

The square root of 6487861048384 is 2547128.

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

It can be written as a sum of positive squares in only one way, i.e., 3402076958784 + 3085784089600 = 1844472^2 + 1756640^2 .

It is a super-2 number, since 2×6487861048384² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 590928207 + ... + 590939185.

Almost surely, 2^{6487861048384} is an apocalyptic number.

6487861048384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6487861048384 is the 2547128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6487861048384

6487861048384 is an abundant number, since it is smaller than the sum of its proper divisors (6846954254373).

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

6487861048384 is an frugal number, since it uses more digits than its factorization.

6487861048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22028 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 67.

The spelling of 6487861048384 in words is "six trillion, four hundred eighty-seven billion, eight hundred sixty-one million, forty-eight thousand, three hundred eighty-four".