678637768842 has 144 divisors (see below), whose sum is σ = 1655220831264. Its totient is φ = 200691691200.

The previous prime is 678637768829. The next prime is 678637768847. The reversal of 678637768842 is 248867736876.

678637768842 is a `hidden beast` number, since 67 + 86 + 377 + 6 + 88 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (678637768847) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 143381908 + ... + 143386640.

It is an arithmetic number, because the mean of its divisors is an integer number (11494589106).

Almost surely, 2^678637768842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678637768842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827610415632).

678637768842 is an abundant number, since it is smaller than the sum of its proper divisors (976583062422).

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

678637768842 is a wasteful number, since it uses less digits than its factorization.

678637768842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337 (or 6323 counting only the distinct ones).

The product of its digits is 910393344, while the sum is 72.

The spelling of 678637768842 in words is "six hundred seventy-eight billion, six hundred thirty-seven million, seven hundred sixty-eight thousand, eight hundred forty-two".