1728040694000 has 160 divisors (see below), whose sum is σ = 4292650252800. Its totient is φ = 672413952000.

The previous prime is 1728040693993. The next prime is 1728040694077. The reversal of 1728040694000 is 4960408271.

It is a super-2 number, since 2×1728040694000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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, 28587809 + ... + 28648191.

It is an arithmetic number, because the mean of its divisors is an integer number (26829064080).

Almost surely, 2^{1728040694000} is an apocalyptic number.

1728040694000 is a gapful number since it is divisible by the number (10) 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 1728040694000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146325126400).

1728040694000 is an abundant number, since it is smaller than the sum of its proper divisors (2564609558800).

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

1728040694000 is a wasteful number, since it uses less digits than its factorization.

1728040694000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60796 (or 60780 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 1728040694000 in words is "one trillion, seven hundred twenty-eight billion, forty million, six hundred ninety-four thousand".