687672782720 has 1024 divisors, whose sum is σ = 2295699148800. Its totient is φ = 190316544000.

The previous prime is 687672782689. The next prime is 687672782761. The reversal of 687672782720 is 27287276786.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1714894520 + ... + 1714894920.

It is an arithmetic number, because the mean of its divisors is an integer number (2241893700).

Almost surely, 2^687672782720 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 687672782720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147849574400).

687672782720 is an abundant number, since it is smaller than the sum of its proper divisors (1608026366080).

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

687672782720 is a wasteful number, since it uses less digits than its factorization.

687672782720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 62.

The spelling of 687672782720 in words is "six hundred eighty-seven billion, six hundred seventy-two million, seven hundred eighty-two thousand, seven hundred twenty".