688282748160 has 576 divisors, whose sum is σ = 2664388339200. Its totient is φ = 147824050176.

The previous prime is 688282748137. The next prime is 688282748183. The reversal of 688282748160 is 61847282886.

It is an interprime number because it is at equal distance from previous prime (688282748137) and next prime (688282748183).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 688282748094 and 688282748103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 488489536 + ... + 488490944.

It is an arithmetic number, because the mean of its divisors is an integer number (4625674200).

Almost surely, 2^688282748160 is an apocalyptic number.

688282748160 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 688282748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332194169600).

688282748160 is an abundant number, since it is smaller than the sum of its proper divisors (1976105591040).

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

688282748160 is a wasteful number, since it uses less digits than its factorization.

688282748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 60.

The spelling of 688282748160 in words is "six hundred eighty-eight billion, two hundred eighty-two million, seven hundred forty-eight thousand, one hundred sixty".