685838499840000 has 3200 divisors, whose sum is σ = 2806661143440000. Its totient is φ = 164433494016000.

The previous prime is 685838499839891. The next prime is 685838499840001. The reversal of 685838499840000 is 48994838586.

685838499840000 is a `hidden beast` number, since 6 + 8 + 58 + 3 + 8 + 499 + 84 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3200).

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 (685838499840001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7706050559956 + ... + 7706050560044.

It is an arithmetic number, because the mean of its divisors is an integer number (877081607325).

Almost surely, 2^{685838499840000} is an apocalyptic number.

685838499840000 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 685838499840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403330571720000).

685838499840000 is an abundant number, since it is smaller than the sum of its proper divisors (2120822643600000).

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

685838499840000 is an frugal number, since it uses more digits than its factorization.

685838499840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 685838499840000 in words is "six hundred eighty-five trillion, eight hundred thirty-eight billion, four hundred ninety-nine million, eight hundred forty thousand".