1668775382820 has 240 divisors, whose sum is σ = 6443090024448. Its totient is φ = 352093236480.

The previous prime is 1668775382809. The next prime is 1668775382837. The reversal of 1668775382820 is 282835778661.

1668775382820 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 77 + 538 + 2 + 8 + 20 = 666.

It is a super-2 number, since 2×1668775382820² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5512516 + ... + 5807355.

Almost surely, 2^{1668775382820} is an apocalyptic number.

1668775382820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1668775382820 is an abundant number, since it is smaller than the sum of its proper divisors (4774314641628).

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

1668775382820 is a wasteful number, since it uses less digits than its factorization.

1668775382820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11319912 (or 11319901 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 1668775382820 in words is "one trillion, six hundred sixty-eight billion, seven hundred seventy-five million, three hundred eighty-two thousand, eight hundred twenty".