680709964968 has 384 divisors, whose sum is σ = 2147227729920. Its totient is φ = 200259682560.

The previous prime is 680709964951. The next prime is 680709964969. The reversal of 680709964968 is 869469907086.

680709964968 is a `hidden beast` number, since 68 + 0 + 70 + 9 + 9 + 6 + 496 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 680709964896 and 680709964905.

It is not an unprimeable number, because it can be changed into a prime (680709964969) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127638430 + ... + 127643762.

It is an arithmetic number, because the mean of its divisors is an integer number (5591738880).

Almost surely, 2^680709964968 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 680709964968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073613864960).

680709964968 is an abundant number, since it is smaller than the sum of its proper divisors (1466517764952).

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

680709964968 is a wasteful number, since it uses less digits than its factorization.

680709964968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5523 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 680709964968 in words is "six hundred eighty billion, seven hundred nine million, nine hundred sixty-four thousand, nine hundred sixty-eight".