74118720663729 has 81 divisors (see below), whose sum is σ = 131445412884747. Its totient is φ = 40122560616768.

The previous prime is 74118720663661. The next prime is 74118720663731. The reversal of 74118720663729 is 92736602781147.

The square root of 74118720663729 is 8609223.

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

74118720663729 is a `hidden beast` number, since 7 + 4 + 1 + 187 + 20 + 66 + 372 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63013510991025 + 11105209672704 = 7938105^2 + 3332448^2 .

It is not a de Polignac number, because 74118720663729 - 2⁷ = 74118720663601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (74118720663769) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 3435069189 + ... + 3435090765.

Almost surely, 2^{74118720663729} is an apocalyptic number.

74118720663729 is the 8609223-rd square number.

74118720663729 is the 4304612-nd centered octagonal number.

It is an amenable number.

74118720663729 is a deficient number, since it is larger than the sum of its proper divisors (57326692221018).

74118720663729 is an frugal number, since it uses more digits than its factorization.

74118720663729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43212 (or 21606 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 74118720663729 in words is "seventy-four trillion, one hundred eighteen billion, seven hundred twenty million, six hundred sixty-three thousand, seven hundred twenty-nine".