1668793955796 has 240 divisors, whose sum is σ = 4837400494080. Its totient is φ = 497428776000.

The previous prime is 1668793955791. The next prime is 1668793955819. The reversal of 1668793955796 is 6975593978661.

1668793955796 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 7 + 9 + 39 + 5 + 579 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668793955791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76290741 + ... + 76312611.

It is an arithmetic number, because the mean of its divisors is an integer number (20155835392).

Almost surely, 2^{1668793955796} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1668793955796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418700247040).

1668793955796 is an abundant number, since it is smaller than the sum of its proper divisors (3168606538284).

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

1668793955796 is a wasteful number, since it uses less digits than its factorization.

1668793955796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22248 (or 22237 counting only the distinct ones).

The product of its digits is 4629441600, while the sum is 81.

The spelling of 1668793955796 in words is "one trillion, six hundred sixty-eight billion, seven hundred ninety-three million, nine hundred fifty-five thousand, seven hundred ninety-six".