2017429992768 has 112 divisors (see below), whose sum is σ = 5474369584640. Its totient is φ = 655340281344.

The previous prime is 2017429992763. The next prime is 2017429992839. The reversal of 2017429992768 is 8672999247102.

It is a junction number, because it is equal to n+sod(n) for n = 2017429992699 and 2017429992708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2017429992761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3346071 + ... + 3902697.

Almost surely, 2^{2017429992768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2017429992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737184792320).

2017429992768 is an abundant number, since it is smaller than the sum of its proper divisors (3456939591872).

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

2017429992768 is a wasteful number, since it uses less digits than its factorization.

2017429992768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557124 (or 557114 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 66.

The spelling of 2017429992768 in words is "two trillion, seventeen billion, four hundred twenty-nine million, nine hundred ninety-two thousand, seven hundred sixty-eight".