63625764683776 has 135 divisors (see below), whose sum is σ = 128728633490107. Its totient is φ = 31446853222400.

The previous prime is 63625764683749. The next prime is 63625764683813. The reversal of 63625764683776 is 67738646752636.

The square root of 63625764683776 is 7976576.

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 51039846400 + 63574724837376 = 225920^2 + 7973376^2 .

It is a Duffinian number.

Its product of digits (7681443840) is a multiple of the sum of its prime divisors (720).

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, 103121174220 + ... + 103121174836.

Almost surely, 2^{63625764683776} is an apocalyptic number.

63625764683776 is the 7976576-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63625764683776

63625764683776 is an abundant number, since it is smaller than the sum of its proper divisors (65102868806331).

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

63625764683776 is an frugal number, since it uses more digits than its factorization.

63625764683776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 720 counting only the distinct ones).

The product of its digits is 7681443840, while the sum is 76.

The spelling of 63625764683776 in words is "sixty-three trillion, six hundred twenty-five billion, seven hundred sixty-four million, six hundred eighty-three thousand, seven hundred seventy-six".