685209210589440 has 1728 divisors, whose sum is σ = 2696830533476352. Its totient is φ = 165827218636800.

The previous prime is 685209210589417. The next prime is 685209210589459. The reversal of 685209210589440 is 44985012902586.

685209210589440 is a `hidden beast` number, since 6 + 8 + 5 + 2 + 0 + 9 + 2 + 1 + 0 + 589 + 4 + 40 = 666.

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

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, 46388809255 + ... + 46388824025.

It is an arithmetic number, because the mean of its divisors is an integer number (1560665817984).

Almost surely, 2^{685209210589440} is an apocalyptic number.

685209210589440 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 685209210589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348415266738176).

685209210589440 is an abundant number, since it is smaller than the sum of its proper divisors (2011621322886912).

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

685209210589440 is a wasteful number, since it uses less digits than its factorization.

685209210589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15138 (or 15112 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 685209210589440 in words is "six hundred eighty-five trillion, two hundred nine billion, two hundred ten million, five hundred eighty-nine thousand, four hundred forty".