1729268016768 has 256 divisors, whose sum is σ = 5148367257600. Its totient is φ = 571401980928.

The previous prime is 1729268016757. The next prime is 1729268016779. The reversal of 1729268016768 is 8676108629271.

It is an interprime number because it is at equal distance from previous prime (1729268016757) and next prime (1729268016779).

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 31 ways as a sum of consecutive naturals, for example, 221045305 + ... + 221053127.

It is an arithmetic number, because the mean of its divisors is an integer number (20110809600).

Almost surely, 2^{1729268016768} is an apocalyptic number.

1729268016768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1729268016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574183628800).

1729268016768 is an abundant number, since it is smaller than the sum of its proper divisors (3419099240832).

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

1729268016768 is a wasteful number, since it uses less digits than its factorization.

1729268016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1729268016768 in words is "one trillion, seven hundred twenty-nine billion, two hundred sixty-eight million, sixteen thousand, seven hundred sixty-eight".