684099201600 has 252 divisors, whose sum is σ = 2444892826740. Its totient is φ = 181417881600.

The previous prime is 684099201523. The next prime is 684099201601. The reversal of 684099201600 is 6102990486.

It is a happy number.

684099201600 is a `hidden beast` number, since 68 + 409 + 9 + 20 + 160 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 358733915136 + 325365286464 = 598944^2 + 570408^2 .

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

It is not an unprimeable number, because it can be changed into a prime (684099201601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2475166 + ... + 2737634.

Almost surely, 2^684099201600 is an apocalyptic number.

684099201600 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 684099201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222446413370).

684099201600 is an abundant number, since it is smaller than the sum of its proper divisors (1760793625140).

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

684099201600 is a wasteful number, since it uses less digits than its factorization.

684099201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262678 (or 262660 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 684099201600 in words is "six hundred eighty-four billion, ninety-nine million, two hundred one thousand, six hundred".