685042722120960 has 864 divisors, whose sum is σ = 2756136048836352. Its totient is φ = 153848884101120.

The previous prime is 685042722120901. The next prime is 685042722121007. The reversal of 685042722120960 is 69021227240586.

685042722120960 is a `hidden beast` number, since 6 + 8 + 5 + 0 + 427 + 2 + 2 + 1 + 209 + 6 + 0 = 666.

It is a super-3 number, since 3×685042722120960³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 685042722120897 and 685042722120906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4609066167 + ... + 4609214793.

Almost surely, 2^{685042722120960} is an apocalyptic number.

685042722120960 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 685042722120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378068024418176).

685042722120960 is an abundant number, since it is smaller than the sum of its proper divisors (2071093326715392).

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

685042722120960 is a wasteful number, since it uses less digits than its factorization.

685042722120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149659 (or 149642 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 685042722120960 in words is "six hundred eighty-five trillion, forty-two billion, seven hundred twenty-two million, one hundred twenty thousand, nine hundred sixty".