1668103960320 has 1152 divisors, whose sum is σ = 7243020288000. Its totient is φ = 355033497600.

The previous prime is 1668103960309. The next prime is 1668103960333. The reversal of 1668103960320 is 230693018661.

1668103960320 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 1 + 0 + 39 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 271189245 + ... + 271195395.

It is an arithmetic number, because the mean of its divisors is an integer number (6287344000).

Almost surely, 2^{1668103960320} is an apocalyptic number.

1668103960320 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 1668103960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3621510144000).

1668103960320 is an abundant number, since it is smaller than the sum of its proper divisors (5574916327680).

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

1668103960320 is a wasteful number, since it uses less digits than its factorization.

1668103960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 6246 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

Adding to 1668103960320 its reverse (230693018661), we get a palindrome (1898796978981).

The spelling of 1668103960320 in words is "one trillion, six hundred sixty-eight billion, one hundred three million, nine hundred sixty thousand, three hundred twenty".