1726880394456 has 256 divisors, whose sum is σ = 5765785804800. Its totient is φ = 468468748800.

The previous prime is 1726880394427. The next prime is 1726880394469. The reversal of 1726880394456 is 6544930886271.

1726880394456 is a `hidden beast` number, since 1 + 72 + 6 + 8 + 80 + 39 + 4 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1726880394393 and 1726880394402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2136646 + ... + 2831786.

It is an arithmetic number, because the mean of its divisors is an integer number (22522600800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1726880394456 = 3453760788912, but 3⋅1726880394456 = 5180641183368 is not.

Almost surely, 2^{1726880394456} 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 1726880394456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882892902400).

1726880394456 is an abundant number, since it is smaller than the sum of its proper divisors (4038905410344).

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

1726880394456 is a wasteful number, since it uses less digits than its factorization.

1726880394456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695247 (or 695237 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 1726880394456 in words is "one trillion, seven hundred twenty-six billion, eight hundred eighty million, three hundred ninety-four thousand, four hundred fifty-six".