6771590563984 has 45 divisors (see below), whose sum is σ = 13588575182923. Its totient is φ = 3268897995776.

The previous prime is 6771590563967. The next prime is 6771590563999. The reversal of 6771590563984 is 4893650951776.

The square root of 6771590563984 is 2602228.

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 1564650739600 + 5206939824384 = 1250860^2 + 2281872^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 301847232 + ... + 301869664.

Almost surely, 2^{6771590563984} is an apocalyptic number.

6771590563984 is the 2602228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6771590563984

6771590563984 is an abundant number, since it is smaller than the sum of its proper divisors (6816984618939).

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

6771590563984 is an frugal number, since it uses more digits than its factorization.

6771590563984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44932 (or 22464 counting only the distinct ones).

The product of its (nonzero) digits is 342921600, while the sum is 70.

The spelling of 6771590563984 in words is "six trillion, seven hundred seventy-one billion, five hundred ninety million, five hundred sixty-three thousand, nine hundred eighty-four".