1668329784000 has 1120 divisors, whose sum is σ = 6848853073920. Its totient is φ = 397488384000.

The previous prime is 1668329783971. The next prime is 1668329784007. The reversal of 1668329784000 is 4879238661.

1668329784000 is a `hidden beast` number, since 166 + 8 + 3 + 2 + 9 + 78 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1668329784007) 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 159 ways as a sum of consecutive naturals, for example, 420550017 + ... + 420553983.

Almost surely, 2^{1668329784000} is an apocalyptic number.

1668329784000 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 1668329784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424426536960).

1668329784000 is an abundant number, since it is smaller than the sum of its proper divisors (5180523289920).

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

1668329784000 is a wasteful number, since it uses less digits than its factorization.

1668329784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 1668329784000 in words is "one trillion, six hundred sixty-eight billion, three hundred twenty-nine million, seven hundred eighty-four thousand".