688038796800 has 480 divisors, whose sum is σ = 2674014789600. Its totient is φ = 172682772480.

The previous prime is 688038796741. The next prime is 688038796801. The reversal of 688038796800 is 8697830886.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688038796801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5816646 + ... + 5933754.

It is an arithmetic number, because the mean of its divisors is an integer number (5570864145).

Almost surely, 2^688038796800 is an apocalyptic number.

688038796800 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 688038796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337007394800).

688038796800 is an abundant number, since it is smaller than the sum of its proper divisors (1985975992800).

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

688038796800 is a wasteful number, since it uses less digits than its factorization.

688038796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117163 (or 117136 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 688038796800 in words is "six hundred eighty-eight billion, thirty-eight million, seven hundred ninety-six thousand, eight hundred".