687828302560 has 192 divisors, whose sum is σ = 1918897827840. Its totient is φ = 227998863360.

The previous prime is 687828302549. The next prime is 687828302573. The reversal of 687828302560 is 65203828786.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38078811 + ... + 38096869.

It is an arithmetic number, because the mean of its divisors is an integer number (9994259520).

Almost surely, 2^687828302560 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 687828302560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959448913920).

687828302560 is an abundant number, since it is smaller than the sum of its proper divisors (1231069525280).

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

687828302560 is a wasteful number, since it uses less digits than its factorization.

687828302560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19209 (or 19201 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 687828302560 in words is "six hundred eighty-seven billion, eight hundred twenty-eight million, three hundred two thousand, five hundred sixty".