684745850880 has 1728 divisors, whose sum is σ = 3087924528780. Its totient is φ = 144473849856.

The previous prime is 684745850827. The next prime is 684745850927. The reversal of 684745850880 is 88058547486.

684745850880 is a `hidden beast` number, since 6 + 8 + 4 + 7 + 45 + 8 + 508 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 637340368896 + 47405481984 = 798336^2 + 217728^2 .

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 52672757754 + ... + 52672757766.

Almost surely, 2^684745850880 is an apocalyptic number.

684745850880 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 684745850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543962264390).

684745850880 is an abundant number, since it is smaller than the sum of its proper divisors (2403178677900).

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

684745850880 is an frugal number, since it uses more digits than its factorization.

684745850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 684745850880 in words is "six hundred eighty-four billion, seven hundred forty-five million, eight hundred fifty thousand, eight hundred eighty".