1727306363712 has 448 divisors, whose sum is σ = 5014854892800. Its totient is φ = 522825891840.

The previous prime is 1727306363711. The next prime is 1727306363743. The reversal of 1727306363712 is 2173636037271.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1727306363711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4102865262 + ... + 4102865682.

Almost surely, 2^{1727306363712} is an apocalyptic number.

1727306363712 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 1727306363712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507427446400).

1727306363712 is an abundant number, since it is smaller than the sum of its proper divisors (3287548529088).

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

1727306363712 is a wasteful number, since it uses less digits than its factorization.

1727306363712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 48.

The spelling of 1727306363712 in words is "one trillion, seven hundred twenty-seven billion, three hundred six million, three hundred sixty-three thousand, seven hundred twelve".