688635465332320 has 192 divisors, whose sum is σ = 1879582988570112. Its totient is φ = 235634879488000.

The previous prime is 688635465332257. The next prime is 688635465332377. The reversal of 688635465332320 is 23233564536886.

It is a super-2 number, since 2×688635465332320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145201725 + ... + 149869315.

It is an arithmetic number, because the mean of its divisors is an integer number (9789494732136).

Almost surely, 2^{688635465332320} 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 688635465332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939791494285056).

688635465332320 is an abundant number, since it is smaller than the sum of its proper divisors (1190947523237792).

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

688635465332320 is a wasteful number, since it uses less digits than its factorization.

688635465332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672565 (or 4672557 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 64.

The spelling of 688635465332320 in words is "six hundred eighty-eight trillion, six hundred thirty-five billion, four hundred sixty-five million, three hundred thirty-two thousand, three hundred twenty".