687999800160 has 768 divisors, whose sum is σ = 2651796403200. Its totient is φ = 165821644800.

The previous prime is 687999800123. The next prime is 687999800167. The reversal of 687999800160 is 61008999786.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687999800167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 449378595 + ... + 449380125.

It is an arithmetic number, because the mean of its divisors is an integer number (3452859900).

Almost surely, 2^687999800160 is an apocalyptic number.

687999800160 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 687999800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325898201600).

687999800160 is an abundant number, since it is smaller than the sum of its proper divisors (1963796603040).

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

687999800160 is a wasteful number, since it uses less digits than its factorization.

687999800160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 687999800160 in words is "six hundred eighty-seven billion, nine hundred ninety-nine million, eight hundred thousand, one hundred sixty".