680026042080 has 1152 divisors, whose sum is σ = 3097659801600. Its totient is φ = 131574067200.

The previous prime is 680026042043. The next prime is 680026042093. The reversal of 680026042080 is 80240620086.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 124293745 + ... + 124299215.

It is an arithmetic number, because the mean of its divisors is an integer number (2688940800).

Almost surely, 2^680026042080 is an apocalyptic number.

680026042080 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 680026042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548829900800).

680026042080 is an abundant number, since it is smaller than the sum of its proper divisors (2417633759520).

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

680026042080 is a wasteful number, since it uses less digits than its factorization.

680026042080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 680026042080 in words is "six hundred eighty billion, twenty-six million, forty-two thousand, eighty".