687345789312 has 1536 divisors, whose sum is σ = 2652065280000. Its totient is φ = 174990606336.

The previous prime is 687345789311. The next prime is 687345789343. The reversal of 687345789312 is 213987543786.

687345789312 is a `hidden beast` number, since 6 + 8 + 73 + 457 + 89 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 687345789312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687345789311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9415695708 + ... + 9415695780.

It is an arithmetic number, because the mean of its divisors is an integer number (1726605000).

Almost surely, 2^687345789312 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 687345789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326032640000).

687345789312 is an abundant number, since it is smaller than the sum of its proper divisors (1964719490688).

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

687345789312 is a wasteful number, since it uses less digits than its factorization.

687345789312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 145 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 687345789312 in words is "six hundred eighty-seven billion, three hundred forty-five million, seven hundred eighty-nine thousand, three hundred twelve".