685816387200 has 864 divisors, whose sum is σ = 2857761466560. Its totient is φ = 156148715520.

The previous prime is 685816387199. The next prime is 685816387241. The reversal of 685816387200 is 2783618586.

685816387200 is a `hidden beast` number, since 6 + 8 + 58 + 1 + 6 + 387 + 200 = 666.

It is a super-4 number, since 4×685816387200⁴ (a number of 48 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 433237609 + ... + 433239191.

It is an arithmetic number, because the mean of its divisors is an integer number (3307594290).

Almost surely, 2^685816387200 is an apocalyptic number.

685816387200 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 685816387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428880733280).

685816387200 is an abundant number, since it is smaller than the sum of its proper divisors (2171945079360).

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

685816387200 is a wasteful number, since it uses less digits than its factorization.

685816387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 685816387200 in words is "six hundred eighty-five billion, eight hundred sixteen million, three hundred eighty-seven thousand, two hundred".