63617006704729 has 27 divisors (see below), whose sum is σ = 65480003590869. Its totient is φ = 61806233223000.

The previous prime is 63617006704673. The next prime is 63617006704751. The reversal of 63617006704729 is 92740760071636.

The square root of 63617006704729 is 7976027.

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

It is not a de Polignac number, because 63617006704729 - 2⁹ = 63617006704217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (63617006704429) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86085259042 + ... + 86085259780.

Almost surely, 2^{63617006704729} is an apocalyptic number.

63617006704729 is the 7976027-th square number.

63617006704729 is the 3988014-th centered octagonal number.

It is an amenable number.

63617006704729 is a deficient number, since it is larger than the sum of its proper divisors (1862996886140).

63617006704729 is an frugal number, since it uses more digits than its factorization.

63617006704729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 58.

The spelling of 63617006704729 in words is "sixty-three trillion, six hundred seventeen billion, six million, seven hundred four thousand, seven hundred twenty-nine".