1729279644672 has 176 divisors, whose sum is σ = 4701533092992. Its totient is φ = 564899512320.

The previous prime is 1729279644647. The next prime is 1729279644727. The reversal of 1729279644672 is 2764469729271.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153204213 + ... + 153215499.

Almost surely, 2^{1729279644672} is an apocalyptic number.

1729279644672 is a gapful number since it is divisible by the number (12) 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 1729279644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350766546496).

1729279644672 is an abundant number, since it is smaller than the sum of its proper divisors (2972253448320).

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

1729279644672 is a wasteful number, since it uses less digits than its factorization.

1729279644672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12304 (or 12286 counting only the distinct ones).

The product of its digits is 128024064, while the sum is 66.

The spelling of 1729279644672 in words is "one trillion, seven hundred twenty-nine billion, two hundred seventy-nine million, six hundred forty-four thousand, six hundred seventy-two".