1668368368576 has 448 divisors, whose sum is σ = 4493873664000. Its totient is φ = 595982499840.

The previous prime is 1668368368573. The next prime is 1668368368603. The reversal of 1668368368576 is 6758638638661.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 1668368368499 and 1668368368508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668368368573) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 253509606 + ... + 253516186.

It is an arithmetic number, because the mean of its divisors is an integer number (10030968000).

Almost surely, 2^{1668368368576} is an apocalyptic number.

1668368368576 is a gapful number since it is divisible by the number (16) 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 1668368368576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246936832000).

1668368368576 is an abundant number, since it is smaller than the sum of its proper divisors (2825505295424).

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

1668368368576 is a wasteful number, since it uses less digits than its factorization.

1668368368576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6730 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 73.

The spelling of 1668368368576 in words is "one trillion, six hundred sixty-eight billion, three hundred sixty-eight million, three hundred sixty-eight thousand, five hundred seventy-six".