6483664060416 has 405 divisors, whose sum is σ = 19824490559601. Its totient is φ = 2041606176768.

The previous prime is 6483664060409. The next prime is 6483664060463. The reversal of 6483664060416 is 6140604663846.

It is a happy number.

The square root of 6483664060416 is 2546304.

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

6483664060416 is a `hidden beast` number, since 6 + 483 + 6 + 64 + 0 + 60 + 41 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4758959702016 + 1724704358400 = 2181504^2 + 1313280^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18577833810 + ... + 18577834158.

Almost surely, 2^{6483664060416} is an apocalyptic number.

6483664060416 is the 2546304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6483664060416

6483664060416 is an abundant number, since it is smaller than the sum of its proper divisors (13340826499185).

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

6483664060416 is an frugal number, since it uses more digits than its factorization.

6483664060416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 6483664060416 in words is "six trillion, four hundred eighty-three billion, six hundred sixty-four million, sixty thousand, four hundred sixteen".