688660704468 has 216 divisors, whose sum is σ = 2066529838464. Its totient is φ = 191617689600.

The previous prime is 688660704463. The next prime is 688660704469. The reversal of 688660704468 is 864407066886.

688660704468 is a `hidden beast` number, since 68 + 8 + 6 + 60 + 70 + 446 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688660704463) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4618821 + ... + 4765587.

Almost surely, 2^688660704468 is an apocalyptic number.

688660704468 is a gapful number since it is divisible by the number (68) 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 688660704468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033264919232).

688660704468 is an abundant number, since it is smaller than the sum of its proper divisors (1377869133996).

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

688660704468 is a wasteful number, since it uses less digits than its factorization.

688660704468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146863 (or 146841 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 688660704468 in words is "six hundred eighty-eight billion, six hundred sixty million, seven hundred four thousand, four hundred sixty-eight".