688648675008 has 168 divisors, whose sum is σ = 2120277039600. Its totient is φ = 196687153152.

The previous prime is 688648675003. The next prime is 688648675021. The reversal of 688648675008 is 800576846886.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 688648675008.

It is not an unprimeable number, because it can be changed into a prime (688648675003) 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 23 ways as a sum of consecutive naturals, for example, 30367098 + ... + 30389766.

Almost surely, 2^688648675008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688648675008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060138519800).

688648675008 is an abundant number, since it is smaller than the sum of its proper divisors (1431628364592).

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

688648675008 is a wasteful number, since it uses less digits than its factorization.

688648675008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25927 (or 25910 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 66.

The spelling of 688648675008 in words is "six hundred eighty-eight billion, six hundred forty-eight million, six hundred seventy-five thousand, eight".