688441449696 has 576 divisors, whose sum is σ = 2527265131776. Its totient is φ = 161215488000.

The previous prime is 688441449659. The next prime is 688441449721. The reversal of 688441449696 is 696944144886.

It is a self number, because there is not a number n which added to its sum of digits gives 688441449696.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28912996 + ... + 28936796.

It is an arithmetic number, because the mean of its divisors is an integer number (4387613076).

Almost surely, 2^688441449696 is an apocalyptic number.

688441449696 is a gapful number since it is divisible by the number (66) 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 688441449696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263632565888).

688441449696 is an abundant number, since it is smaller than the sum of its proper divisors (1838823682080).

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

688441449696 is a wasteful number, since it uses less digits than its factorization.

688441449696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23895 (or 23880 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 69.

The spelling of 688441449696 in words is "six hundred eighty-eight billion, four hundred forty-one million, four hundred forty-nine thousand, six hundred ninety-six".