879682408883712 has 320 divisors, whose sum is σ = 2991015942013440. Its totient is φ = 250061999136768.

The previous prime is 879682408883683. The next prime is 879682408883819. The reversal of 879682408883712 is 217388804286978.

879682408883712 is a `hidden beast` number, since 8 + 7 + 9 + 68 + 2 + 408 + 8 + 83 + 71 + 2 = 666.

It is a super-2 number, since 2×879682408883712² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 4009378 + ... + 42135969.

It is an arithmetic number, because the mean of its divisors is an integer number (9346924818792).

Almost surely, 2^{879682408883712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879682408883712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495507971006720).

879682408883712 is an abundant number, since it is smaller than the sum of its proper divisors (2111333533129728).

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

879682408883712 is a wasteful number, since it uses less digits than its factorization.

879682408883712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46145578 (or 46145556 counting only the distinct ones).

The product of its (nonzero) digits is 4161798144, while the sum is 81.

The spelling of 879682408883712 in words is "eight hundred seventy-nine trillion, six hundred eighty-two billion, four hundred eight million, eight hundred eighty-three thousand, seven hundred twelve".