1668427737120 has 72 divisors (see below), whose sum is σ = 5693509657836. Its totient is φ = 444914062848.

The previous prime is 1668427737101. The next prime is 1668427737167. The reversal of 1668427737120 is 217377248661.

1668427737120 is a `hidden beast` number, since 1 + 6 + 68 + 427 + 7 + 37 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1629636071184 + 38791665936 = 1276572^2 + 196956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1668427737120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579313747 + ... + 579316626.

Almost surely, 2^{1668427737120} is an apocalyptic number.

1668427737120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1668427737120 is an abundant number, since it is smaller than the sum of its proper divisors (4025081920716).

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

1668427737120 is a wasteful number, since it uses less digits than its factorization.

1668427737120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158630394 (or 1158630383 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 1668427737120 in words is "one trillion, six hundred sixty-eight billion, four hundred twenty-seven million, seven hundred thirty-seven thousand, one hundred twenty".