63782512704 has 189 divisors, whose sum is σ = 194522086317. Its totient is φ = 19977873408.

The previous prime is 63782512663. The next prime is 63782512757. The reversal of 63782512704 is 40721528736.

The square root of 63782512704 is 252552.

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

63782512704 is a `hidden beast` number, since 6 + 378 + 2 + 5 + 1 + 270 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49657665600 + 14124847104 = 222840^2 + 118848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 63782512704.

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 26 ways as a sum of consecutive naturals, for example, 103040907 + ... + 103041525.

Almost surely, 2^63782512704 is an apocalyptic number.

63782512704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

63782512704 is the 252552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63782512704

63782512704 is an abundant number, since it is smaller than the sum of its proper divisors (130739573613).

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

63782512704 is an equidigital number, since it uses as much as digits as its factorization.

63782512704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 63782512704 in words is "sixty-three billion, seven hundred eighty-two million, five hundred twelve thousand, seven hundred four".