1728242976768 has 1152 divisors, whose sum is σ = 6232964774400. Its totient is φ = 423394836480.

The previous prime is 1728242976731. The next prime is 1728242976827. The reversal of 1728242976768 is 8676792428271.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7613405071 + ... + 7613405297.

It is an arithmetic number, because the mean of its divisors is an integer number (5410559700).

Almost surely, 2^{1728242976768} 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 1728242976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3116482387200).

1728242976768 is an abundant number, since it is smaller than the sum of its proper divisors (4504721797632).

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

1728242976768 is a wasteful number, since it uses less digits than its factorization.

1728242976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 269 counting only the distinct ones).

The product of its digits is 227598336, while the sum is 69.

The spelling of 1728242976768 in words is "one trillion, seven hundred twenty-eight billion, two hundred forty-two million, nine hundred seventy-six thousand, seven hundred sixty-eight".