680519263872 has 128 divisors (see below), whose sum is σ = 2071175932800. Its totient is φ = 193933946880.

The previous prime is 680519263847. The next prime is 680519263873. The reversal of 680519263872 is 278362915086.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (680519263873) 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 15 ways as a sum of consecutive naturals, for example, 720222 + ... + 1371042.

It is an arithmetic number, because the mean of its divisors is an integer number (16181061975).

Almost surely, 2^680519263872 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 680519263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035587966400).

680519263872 is an abundant number, since it is smaller than the sum of its proper divisors (1390656668928).

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

680519263872 is a wasteful number, since it uses less digits than its factorization.

680519263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651234 (or 651222 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 680519263872 in words is "six hundred eighty billion, five hundred nineteen million, two hundred sixty-three thousand, eight hundred seventy-two".