66734124801217 has 16 divisors (see below), whose sum is σ = 68020731187200. Its totient is φ = 65456122873680.

The previous prime is 66734124801173. The next prime is 66734124801263. The reversal of 66734124801217 is 71210842143766.

It is a cyclic number.

It is not a de Polignac number, because 66734124801217 - 2³⁹ = 66184368987329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66734124801287) 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, 154774542 + ... + 155205112.

It is an arithmetic number, because the mean of its divisors is an integer number (4251295699200).

Almost surely, 2^{66734124801217} is an apocalyptic number.

66734124801217 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

It is an amenable number.

66734124801217 is a deficient number, since it is larger than the sum of its proper divisors (1286606385983).

66734124801217 is a wasteful number, since it uses less digits than its factorization.

66734124801217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440556.

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 66734124801217 in words is "sixty-six trillion, seven hundred thirty-four billion, one hundred twenty-four million, eight hundred one thousand, two hundred seventeen".