1721859648768 has 1008 divisors, whose sum is σ = 6180392108800. Its totient is φ = 478005276672.

The previous prime is 1721859648671. The next prime is 1721859648797. The reversal of 1721859648768 is 8678469581271.

It is a happy number.

1721859648768 is a `hidden beast` number, since 1 + 7 + 2 + 1 + 85 + 9 + 6 + 487 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 1721859648696 and 1721859648705.

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 111 ways as a sum of consecutive naturals, for example, 2368444821 + ... + 2368445547.

Almost surely, 2^{1721859648768} is an apocalyptic number.

1721859648768 is a gapful number since it is divisible by the number (18) 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 1721859648768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090196054400).

1721859648768 is an abundant number, since it is smaller than the sum of its proper divisors (4458532460032).

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

1721859648768 is an frugal number, since it uses more digits than its factorization.

1721859648768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 776 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 72.

The spelling of 1721859648768 in words is "one trillion, seven hundred twenty-one billion, eight hundred fifty-nine million, six hundred forty-eight thousand, seven hundred sixty-eight".