685145199866400 has 2880 divisors, whose sum is σ = 3172364623169280. Its totient is φ = 140061162700800.

The previous prime is 685145199866357. The next prime is 685145199866431. The reversal of 685145199866400 is 4668991541586.

685145199866400 is a `hidden beast` number, since 6 + 8 + 5 + 1 + 4 + 51 + 99 + 86 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 24100207386 + ... + 24100235814.

It is an arithmetic number, because the mean of its divisors is an integer number (1101515494156).

Almost surely, 2^{685145199866400} is an apocalyptic number.

685145199866400 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 685145199866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586182311584640).

685145199866400 is an abundant number, since it is smaller than the sum of its proper divisors (2487219423302880).

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

685145199866400 is a wasteful number, since it uses less digits than its factorization.

685145199866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28609 (or 28587 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 685145199866400 in words is "six hundred eighty-five trillion, one hundred forty-five billion, one hundred ninety-nine million, eight hundred sixty-six thousand, four hundred".