685233561600 has 1512 divisors, whose sum is σ = 2971532419128. Its totient is φ = 156067430400.

The previous prime is 685233561583. The next prime is 685233561601. The reversal of 685233561600 is 6165332586.

685233561600 is a `hidden beast` number, since 6 + 8 + 5 + 2 + 3 + 35 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685233561601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2438553460 + ... + 2438553740.

It is an arithmetic number, because the mean of its divisors is an integer number (1965299219).

Almost surely, 2^685233561600 is an apocalyptic number.

685233561600 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 685233561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485766209564).

685233561600 is an abundant number, since it is smaller than the sum of its proper divisors (2286298857528).

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

685233561600 is an equidigital number, since it uses as much as digits as its factorization.

685233561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 685233561600 in words is "six hundred eighty-five billion, two hundred thirty-three million, five hundred sixty-one thousand, six hundred".