685830322800 has 1080 divisors, whose sum is σ = 2878847741952. Its totient is φ = 150595200000.

The previous prime is 685830322739. The next prime is 685830322819. The reversal of 685830322800 is 8223038586.

685830322800 is a `hidden beast` number, since 68 + 5 + 8 + 303 + 2 + 280 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 913222425 + ... + 913223175.

Almost surely, 2^685830322800 is an apocalyptic number.

685830322800 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 685830322800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439423870976).

685830322800 is an abundant number, since it is smaller than the sum of its proper divisors (2193017419152).

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

685830322800 is a wasteful number, since it uses less digits than its factorization.

685830322800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 685830322800 in words is "six hundred eighty-five billion, eight hundred thirty million, three hundred twenty-two thousand, eight hundred".