1668983693760 has 560 divisors, whose sum is σ = 6401835649440. Its totient is φ = 411349155840.

The previous prime is 1668983693723. The next prime is 1668983693771. The reversal of 1668983693760 is 673963898661.

1668983693760 is a `hidden beast` number, since 166 + 8 + 98 + 3 + 6 + 9 + 376 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20150352 + ... + 20233008.

It is an arithmetic number, because the mean of its divisors is an integer number (11431849374).

Almost surely, 2^{1668983693760} is an apocalyptic number.

1668983693760 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 1668983693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200917824720).

1668983693760 is an abundant number, since it is smaller than the sum of its proper divisors (4732851955680).

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

1668983693760 is a wasteful number, since it uses less digits than its factorization.

1668983693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82746 (or 82727 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 1668983693760 in words is "one trillion, six hundred sixty-eight billion, nine hundred eighty-three million, six hundred ninety-three thousand, seven hundred sixty".