688096328244480 has 720 divisors, whose sum is σ = 2511671759460864. Its totient is φ = 179837296312320.

The previous prime is 688096328244443. The next prime is 688096328244487. The reversal of 688096328244480 is 84442823690886.

688096328244480 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 9 + 63 + 2 + 82 + 4 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 688096328244399 and 688096328244408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688096328244487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1035534745 + ... + 1036199015.

Almost surely, 2^{688096328244480} is an apocalyptic number.

688096328244480 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 688096328244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255835879730432).

688096328244480 is an abundant number, since it is smaller than the sum of its proper divisors (1823575431216384).

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

688096328244480 is a wasteful number, since it uses less digits than its factorization.

688096328244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664504 (or 664481 counting only the distinct ones).

The product of its (nonzero) digits is 1019215872, while the sum is 72.

The spelling of 688096328244480 in words is "six hundred eighty-eight trillion, ninety-six billion, three hundred twenty-eight million, two hundred forty-four thousand, four hundred eighty".