680159106000 has 800 divisors, whose sum is σ = 2693028349440. Its totient is φ = 164094336000.

The previous prime is 680159105999. The next prime is 680159106007. The reversal of 680159106000 is 601951086.

680159106000 is a `hidden beast` number, since 6 + 8 + 0 + 1 + 591 + 0 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680159106007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 425897202 + ... + 425898798.

Almost surely, 2^680159106000 is an apocalyptic number.

680159106000 is a gapful number since it is divisible by the number (60) 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 680159106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346514174720).

680159106000 is an abundant number, since it is smaller than the sum of its proper divisors (2012869243440).

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

680159106000 is a wasteful number, since it uses less digits than its factorization.

680159106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 680159106000 in words is "six hundred eighty billion, one hundred fifty-nine million, one hundred six thousand".