1668161456640 has 960 divisors, whose sum is σ = 6895478304000. Its totient is φ = 372350877696.

The previous prime is 1668161456639. The next prime is 1668161456693. The reversal of 1668161456640 is 466541618661.

1668161456640 is a `hidden beast` number, since 1 + 6 + 68 + 1 + 6 + 14 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 339814506 + ... + 339819414.

It is an arithmetic number, because the mean of its divisors is an integer number (7182789900).

Almost surely, 2^{1668161456640} is an apocalyptic number.

1668161456640 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 1668161456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447739152000).

1668161456640 is an abundant number, since it is smaller than the sum of its proper divisors (5227316847360).

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

1668161456640 is an equidigital number, since it uses as much as digits as its factorization.

1668161456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5002 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1668161456640 in words is "one trillion, six hundred sixty-eight billion, one hundred sixty-one million, four hundred fifty-six thousand, six hundred forty".