679446187668 has 144 divisors (see below), whose sum is σ = 1831534168464. Its totient is φ = 211636039680.

The previous prime is 679446187631. The next prime is 679446187691. The reversal of 679446187668 is 866781644976.

679446187668 is a `hidden beast` number, since 6 + 7 + 94 + 461 + 8 + 76 + 6 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 64542418704 + 614903768964 = 254052^2 + 784158^2 .

It is a junction number, because it is equal to n+sod(n) for n = 679446187596 and 679446187605.

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 47 ways as a sum of consecutive naturals, for example, 191877978 + ... + 191881518.

It is an arithmetic number, because the mean of its divisors is an integer number (12718987281).

Almost surely, 2^679446187668 is an apocalyptic number.

679446187668 is a gapful number since it is divisible by the number (68) 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 679446187668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915767084232).

679446187668 is an abundant number, since it is smaller than the sum of its proper divisors (1152087980796).

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

679446187668 is a wasteful number, since it uses less digits than its factorization.

679446187668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5717 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 679446187668 in words is "six hundred seventy-nine billion, four hundred forty-six million, one hundred eighty-seven thousand, six hundred sixty-eight".