680074068960 has 768 divisors, whose sum is σ = 2831120087040. Its totient is φ = 152173209600.

The previous prime is 680074068953. The next prime is 680074068979. The reversal of 680074068960 is 69860470086.

680074068960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 680074068897 and 680074068906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50031765 + ... + 50045355.

It is an arithmetic number, because the mean of its divisors is an integer number (3686354280).

Almost surely, 2^680074068960 is an apocalyptic number.

680074068960 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 680074068960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415560043520).

680074068960 is an abundant number, since it is smaller than the sum of its proper divisors (2151046018080).

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

680074068960 is a wasteful number, since it uses less digits than its factorization.

680074068960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13651 (or 13625 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 680074068960 in words is "six hundred eighty billion, seventy-four million, sixty-eight thousand, nine hundred sixty".