73665716110753 has 16 divisors (see below), whose sum is σ = 80829703858176. Its totient is φ = 66715659541440.

The previous prime is 73665716110711. The next prime is 73665716110817. The reversal of 73665716110753 is 35701161756637.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-73665716110753 is a prime.

It is a super-3 number, since 3×73665716110753³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (73665716110153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136018768 + ... + 136559278.

It is an arithmetic number, because the mean of its divisors is an integer number (5051856491136).

Almost surely, 2^{73665716110753} is an apocalyptic number.

It is an amenable number.

73665716110753 is a deficient number, since it is larger than the sum of its proper divisors (7163987747423).

73665716110753 is a wasteful number, since it uses less digits than its factorization.

73665716110753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738384.

The product of its (nonzero) digits is 16669800, while the sum is 58.

The spelling of 73665716110753 in words is "seventy-three trillion, six hundred sixty-five billion, seven hundred sixteen million, one hundred ten thousand, seven hundred fifty-three".