680690550735360 has 1920 divisors, whose sum is σ = 2704768470024192. Its totient is φ = 156598075392000.

The previous prime is 680690550735341. The next prime is 680690550735427. The reversal of 680690550735360 is 63537055096086.

680690550735360 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 9 + 0 + 550 + 73 + 5 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 660223618045 + ... + 660223619075.

Almost surely, 2^{680690550735360} is an apocalyptic number.

680690550735360 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 680690550735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352384235012096).

680690550735360 is an abundant number, since it is smaller than the sum of its proper divisors (2024077919288832).

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

680690550735360 is a wasteful number, since it uses less digits than its factorization.

680690550735360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 680690550735360 in words is "six hundred eighty trillion, six hundred ninety billion, five hundred fifty million, seven hundred thirty-five thousand, three hundred sixty".