684406510788 has 288 divisors, whose sum is σ = 2199662051328. Its totient is φ = 162798854400.

The previous prime is 684406510729. The next prime is 684406510793. The reversal of 684406510788 is 887015604486.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10646623 + ... + 10710713.

It is an arithmetic number, because the mean of its divisors is an integer number (7637715456).

Almost surely, 2^684406510788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684406510788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099831025664).

684406510788 is an abundant number, since it is smaller than the sum of its proper divisors (1515255540540).

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

684406510788 is a wasteful number, since it uses less digits than its factorization.

684406510788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64263 (or 64254 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 684406510788 in words is "six hundred eighty-four billion, four hundred six million, five hundred ten thousand, seven hundred eighty-eight".