688836234336 has 96 divisors (see below), whose sum is σ = 1827560877408. Its totient is φ = 227156582400.

The previous prime is 688836234311. The next prime is 688836234353. The reversal of 688836234336 is 633432638886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 688836234336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12353976 + ... + 12409608.

It is an arithmetic number, because the mean of its divisors is an integer number (19037092473).

Almost surely, 2^688836234336 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 688836234336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913780438704).

688836234336 is an abundant number, since it is smaller than the sum of its proper divisors (1138724643072).

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

688836234336 is a wasteful number, since it uses less digits than its factorization.

688836234336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57024 (or 57016 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 60.

The spelling of 688836234336 in words is "six hundred eighty-eight billion, eight hundred thirty-six million, two hundred thirty-four thousand, three hundred thirty-six".