684789628723200 has 10080 divisors, whose sum is σ = 3603008185717248. Its totient is φ = 124866684518400.

The previous prime is 684789628723183. The next prime is 684789628723201. The reversal of 684789628723200 is 2327826987486.

684789628723200 is a `hidden beast` number, since 6 + 8 + 47 + 89 + 6 + 287 + 23 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (684789628723201) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 4201163366319 + ... + 4201163366481.

Almost surely, 2^{684789628723200} is an apocalyptic number.

684789628723200 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 684789628723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801504092858624).

684789628723200 is an abundant number, since it is smaller than the sum of its proper divisors (2918218556994048).

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

684789628723200 is a wasteful number, since it uses less digits than its factorization.

684789628723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 684789628723200 in words is "six hundred eighty-four trillion, seven hundred eighty-nine billion, six hundred twenty-eight million, seven hundred twenty-three thousand, two hundred".