685312018560 has 1536 divisors, whose sum is σ = 2858202547200. Its totient is φ = 149588803584.

The previous prime is 685312018549. The next prime is 685312018619. The reversal of 685312018560 is 65810213586.

685312018560 is a `hidden beast` number, since 6 + 8 + 53 + 1 + 20 + 18 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2605748989 + ... + 2605749251.

It is an arithmetic number, because the mean of its divisors is an integer number (1860808950).

Almost surely, 2^685312018560 is an apocalyptic number.

685312018560 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 685312018560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429101273600).

685312018560 is an abundant number, since it is smaller than the sum of its proper divisors (2172890528640).

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

685312018560 is a wasteful number, since it uses less digits than its factorization.

685312018560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 685312018560 in words is "six hundred eighty-five billion, three hundred twelve million, eighteen thousand, five hundred sixty".