63777729321216 has 405 divisors, whose sum is σ = 196616076800913. Its totient is φ = 20561961093120.

The previous prime is 63777729321179. The next prime is 63777729321221. The reversal of 63777729321216 is 61212392777736.

The square root of 63777729321216 is 7986096.

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

63777729321216 is a `hidden beast` number, since 6 + 3 + 7 + 7 + 77 + 29 + 321 + 216 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60262554306816 + 3515175014400 = 7762896^2 + 1874880^2 .

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 44 ways as a sum of consecutive naturals, for example, 35649931650 + ... + 35649933438.

Almost surely, 2^{63777729321216} is an apocalyptic number.

63777729321216 is the 7986096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63777729321216

63777729321216 is an abundant number, since it is smaller than the sum of its proper divisors (132838347479697).

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

63777729321216 is an frugal number, since it uses more digits than its factorization.

63777729321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3668 (or 1825 counting only the distinct ones).

The product of its digits is 56010528, while the sum is 63.

The spelling of 63777729321216 in words is "sixty-three trillion, seven hundred seventy-seven billion, seven hundred twenty-nine million, three hundred twenty-one thousand, two hundred sixteen".