687610770336 has 648 divisors, whose sum is σ = 2490071220000. Its totient is φ = 186082977024.

The previous prime is 687610770331. The next prime is 687610770337. The reversal of 687610770336 is 633077016786.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (687610770331) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 137547165 + ... + 137552163.

It is an arithmetic number, because the mean of its divisors is an integer number (3842702500).

Almost surely, 2^687610770336 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 687610770336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245035610000).

687610770336 is an abundant number, since it is smaller than the sum of its proper divisors (1802460449664).

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

687610770336 is a wasteful number, since it uses less digits than its factorization.

687610770336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 687610770336 in words is "six hundred eighty-seven billion, six hundred ten million, seven hundred seventy thousand, three hundred thirty-six".