1966868718408 has 384 divisors, whose sum is σ = 6260986368000. Its totient is φ = 551463344640.

The previous prime is 1966868718383. The next prime is 1966868718413. The reversal of 1966868718408 is 8048178686691.

1966868718408 is a `hidden beast` number, since 1 + 9 + 66 + 86 + 87 + 1 + 8 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177846783 + ... + 177857841.

It is an arithmetic number, because the mean of its divisors is an integer number (16304652000).

Almost surely, 2^{1966868718408} is an apocalyptic number.

1966868718408 is a gapful number since it is divisible by the number (18) 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 1966868718408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130493184000).

1966868718408 is an abundant number, since it is smaller than the sum of its proper divisors (4294117649592).

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

1966868718408 is a wasteful number, since it uses less digits than its factorization.

1966868718408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11377 (or 11370 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 1966868718408 in words is "one trillion, nine hundred sixty-six billion, eight hundred sixty-eight million, seven hundred eighteen thousand, four hundred eight".