680954564880 has 480 divisors, whose sum is σ = 2400068885760. Its totient is φ = 179420313600.

The previous prime is 680954564869. The next prime is 680954564881. The reversal of 680954564880 is 88465459086.

680954564880 is a `hidden beast` number, since 6 + 8 + 0 + 9 + 545 + 6 + 4 + 8 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (680954564881) 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, 672215254 + ... + 672216266.

It is an arithmetic number, because the mean of its divisors is an integer number (5000143512).

Almost surely, 2^680954564880 is an apocalyptic number.

680954564880 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 680954564880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200034442880).

680954564880 is an abundant number, since it is smaller than the sum of its proper divisors (1719114320880).

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

680954564880 is a wasteful number, since it uses less digits than its factorization.

680954564880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 680954564880 in words is "six hundred eighty billion, nine hundred fifty-four million, five hundred sixty-four thousand, eight hundred eighty".