1668925427400 has 576 divisors, whose sum is σ = 7130449872000. Its totient is φ = 346788288000.

The previous prime is 1668925427357. The next prime is 1668925427413. The reversal of 1668925427400 is 47245298661.

1668925427400 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 92 + 542 + 7 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6668530 + ... + 6914270.

It is an arithmetic number, because the mean of its divisors is an integer number (12379253250).

Almost surely, 2^{1668925427400} is an apocalyptic number.

1668925427400 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 1668925427400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3565224936000).

1668925427400 is an abundant number, since it is smaller than the sum of its proper divisors (5461524444600).

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

1668925427400 is a wasteful number, since it uses less digits than its factorization.

1668925427400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245795 (or 245769 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1668925427400 in words is "one trillion, six hundred sixty-eight billion, nine hundred twenty-five million, four hundred twenty-seven thousand, four hundred".