679642331986176 has 1152 divisors, whose sum is σ = 2088459816468480. Its totient is φ = 194493907206144.

The previous prime is 679642331986171. The next prime is 679642331986199. The reversal of 679642331986176 is 671689133246976.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (679642331986171) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1455336899095 + ... + 1455336899561.

It is an arithmetic number, because the mean of its divisors is an integer number (1812899146240).

Almost surely, 2^{679642331986176} 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 679642331986176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044229908234240).

679642331986176 is an abundant number, since it is smaller than the sum of its proper divisors (1408817484482304).

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

679642331986176 is a wasteful number, since it uses less digits than its factorization.

679642331986176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1137 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 78.

The spelling of 679642331986176 in words is "six hundred seventy-nine trillion, six hundred forty-two billion, three hundred thirty-one million, nine hundred eighty-six thousand, one hundred seventy-six".