63966788309776 has 135 divisors (see below), whose sum is σ = 138341365939413. Its totient is φ = 28631288252160.

The previous prime is 63966788309759. The next prime is 63966788309807. The reversal of 63966788309776 is 67790388766936.

The square root of 63966788309776 is 7997924.

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

63966788309776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 63120800419600 + 845987890176 = 7944860^2 + 919776^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 63966788309693 and 63966788309702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23577878596 + ... + 23577881308.

Almost surely, 2^{63966788309776} is an apocalyptic number.

63966788309776 is the 7997924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63966788309776

63966788309776 is an abundant number, since it is smaller than the sum of its proper divisors (74374577629637).

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

63966788309776 is an frugal number, since it uses more digits than its factorization.

63966788309776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5590 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 20739898368, while the sum is 85.

The spelling of 63966788309776 in words is "sixty-three trillion, nine hundred sixty-six billion, seven hundred eighty-eight million, three hundred nine thousand, seven hundred seventy-six".