1668113060400 has 720 divisors, whose sum is σ = 6417364262400. Its totient is φ = 415089100800.

The previous prime is 1668113060387. The next prime is 1668113060401. The reversal of 1668113060400 is 40603118661.

1668113060400 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 11 + 30 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1668113060401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91650501 + ... + 91668699.

It is an arithmetic number, because the mean of its divisors is an integer number (8913005920).

Almost surely, 2^{1668113060400} is an apocalyptic number.

1668113060400 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 1668113060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208682131200).

1668113060400 is an abundant number, since it is smaller than the sum of its proper divisors (4749251202000).

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

1668113060400 is a wasteful number, since it uses less digits than its factorization.

1668113060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18296 (or 18273 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1668113060400 in words is "one trillion, six hundred sixty-eight billion, one hundred thirteen million, sixty thousand, four hundred".