688411872000 has 1080 divisors, whose sum is σ = 2724313431840. Its totient is φ = 172589875200.

The previous prime is 688411871999. The next prime is 688411872019. The reversal of 688411872000 is 278114886.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 749087541 + ... + 749088459.

Almost surely, 2^688411872000 is an apocalyptic number.

688411872000 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 688411872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362156715920).

688411872000 is an abundant number, since it is smaller than the sum of its proper divisors (2035901559840).

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

688411872000 is an equidigital number, since it uses as much as digits as its factorization.

688411872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

Adding to 688411872000 its reverse (278114886), we get a palindrome (688689986886).

The spelling of 688411872000 in words is "six hundred eighty-eight billion, four hundred eleven million, eight hundred seventy-two thousand".