680198289039360 has 3584 divisors, whose sum is σ = 3158863006924800. Its totient is φ = 134842259865600.

The previous prime is 680198289039349. The next prime is 680198289039361. The reversal of 680198289039360 is 63930982891086.

680198289039360 is a `hidden beast` number, since 6 + 8 + 0 + 1 + 98 + 2 + 8 + 90 + 393 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

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

It is not an unprimeable number, because it can be changed into a prime (680198289039361) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 242841229960 + ... + 242841232760.

It is an arithmetic number, because the mean of its divisors is an integer number (881379187200).

Almost surely, 2^{680198289039360} is an apocalyptic number.

680198289039360 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 680198289039360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579431503462400).

680198289039360 is an abundant number, since it is smaller than the sum of its proper divisors (2478664717885440).

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

680198289039360 is a wasteful number, since it uses less digits than its factorization.

680198289039360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 680198289039360 in words is "six hundred eighty trillion, one hundred ninety-eight billion, two hundred eighty-nine million, thirty-nine thousand, three hundred sixty".