687855063000 has 256 divisors, whose sum is σ = 2531816202240. Its totient is φ = 152152128000.

The previous prime is 687855062981. The next prime is 687855063013. The reversal of 687855063000 is 360558786.

687855063000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122694 + ... + 1179306.

It is an arithmetic number, because the mean of its divisors is an integer number (9889907040).

Almost surely, 2^687855063000 is an apocalyptic number.

687855063000 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 687855063000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265908101120).

687855063000 is an abundant number, since it is smaller than the sum of its proper divisors (1843961139240).

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

687855063000 is a wasteful number, since it uses less digits than its factorization.

687855063000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056675 (or 1056661 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 687855063000 in words is "six hundred eighty-seven billion, eight hundred fifty-five million, sixty-three thousand".