687886805760 has 1728 divisors, whose sum is σ = 2937746423808. Its totient is φ = 135475200000.

The previous prime is 687886805687. The next prime is 687886805761. The reversal of 687886805760 is 67508688786.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (687886805761) 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, 4555541685 + ... + 4555541835.

It is an arithmetic number, because the mean of its divisors is an integer number (1700084736).

Almost surely, 2^687886805760 is an apocalyptic number.

687886805760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687886805760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468873211904).

687886805760 is an abundant number, since it is smaller than the sum of its proper divisors (2249859618048).

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

687886805760 is a wasteful number, since it uses less digits than its factorization.

687886805760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 69.

The spelling of 687886805760 in words is "six hundred eighty-seven billion, eight hundred eighty-six million, eight hundred five thousand, seven hundred sixty".