63893683984 has 45 divisors (see below), whose sum is σ = 134076720159. Its totient is φ = 29483326080.

The previous prime is 63893683967. The next prime is 63893684009. The reversal of 63893683984 is 48938639836.

It is a happy number.

The square root of 63893683984 is 252772.

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 727920400 + 63165763584 = 26980^2 + 251328^2 .

It is a super-2 number, since 2×63893683984² (a number of 22 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 (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13141714 + ... + 13146574.

Almost surely, 2^63893683984 is an apocalyptic number.

63893683984 is the 252772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63893683984

63893683984 is an abundant number, since it is smaller than the sum of its proper divisors (70183036175).

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

63893683984 is an frugal number, since it uses more digits than its factorization.

63893683984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9756 (or 4876 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 67.

The spelling of 63893683984 in words is "sixty-three billion, eight hundred ninety-three million, six hundred eighty-three thousand, nine hundred eighty-four".