1668558830400 has 2016 divisors, whose sum is σ = 7892685946880. Its totient is φ = 335301120000.

The previous prime is 1668558830321. The next prime is 1668558830441. The reversal of 1668558830400 is 40388558661.

1668558830400 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 558 + 83 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1134301665 + ... + 1134303135.

Almost surely, 2^{1668558830400} is an apocalyptic number.

1668558830400 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 1668558830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946342973440).

1668558830400 is an abundant number, since it is smaller than the sum of its proper divisors (6224127116480).

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

1668558830400 is a wasteful number, since it uses less digits than its factorization.

1668558830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1668558830400 in words is "one trillion, six hundred sixty-eight billion, five hundred fifty-eight million, eight hundred thirty thousand, four hundred".