4166784955872 has 768 divisors, whose sum is σ = 15371991613440. Its totient is φ = 1066630809600.

The previous prime is 4166784955843. The next prime is 4166784955913. The reversal of 4166784955872 is 2785594876614.

4166784955872 is a `hidden beast` number, since 4 + 1 + 6 + 67 + 8 + 4 + 9 + 558 + 7 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4166784955872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3384877497 + ... + 3384878727.

It is an arithmetic number, because the mean of its divisors is an integer number (20015614080).

Almost surely, 2^{4166784955872} is an apocalyptic number.

4166784955872 is a gapful number since it is divisible by the number (42) 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 4166784955872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685995806720).

4166784955872 is an abundant number, since it is smaller than the sum of its proper divisors (11205206657568).

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

4166784955872 is a wasteful number, since it uses less digits than its factorization.

4166784955872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1950 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 72.

The spelling of 4166784955872 in words is "four trillion, one hundred sixty-six billion, seven hundred eighty-four million, nine hundred fifty-five thousand, eight hundred seventy-two".