680448193516080 has 1600 divisors, whose sum is σ = 2660213175459840. Its totient is φ = 159786046310400.

The previous prime is 680448193516079. The next prime is 680448193516171. The reversal of 680448193516080 is 80615391844086.

680448193516080 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 4 + 8 + 19 + 3 + 5 + 1 + 608 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 680448193515999 and 680448193516017.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 161588265175 + ... + 161588269385.

Almost surely, 2^{680448193516080} is an apocalyptic number.

680448193516080 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 680448193516080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330106587729920).

680448193516080 is an abundant number, since it is smaller than the sum of its proper divisors (1979764981943760).

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

680448193516080 is a wasteful number, since it uses less digits than its factorization.

680448193516080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 680448193516080 in words is "six hundred eighty trillion, four hundred forty-eight billion, one hundred ninety-three million, five hundred sixteen thousand, eighty".