678637484736876 has 144 divisors (see below), whose sum is σ = 1998697337005824. Its totient is φ = 190123874898048.

The previous prime is 678637484736839. The next prime is 678637484736881.

678637484736876 is a `hidden beast` number, since 6 + 7 + 8 + 6 + 3 + 7 + 4 + 8 + 473 + 68 + 76 = 666.

678637484736876 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7024071 + ... + 37504833.

It is an arithmetic number, because the mean of its divisors is an integer number (13879842618096).

Almost surely, 2^{678637484736876} 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 678637484736876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999348668502912).

678637484736876 is an abundant number, since it is smaller than the sum of its proper divisors (1320059852268948).

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

678637484736876 is a wasteful number, since it uses less digits than its factorization.

678637484736876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30482500 (or 30482495 counting only the distinct ones).

The product of its digits is 229419122688, while the sum is 90.

The spelling of 678637484736876 in words is "six hundred seventy-eight trillion, six hundred thirty-seven billion, four hundred eighty-four million, seven hundred thirty-six thousand, eight hundred seventy-six".