688732741952640 has 3840 divisors, whose sum is σ = 3144492564111360. Its totient is φ = 140601148047360.

The previous prime is 688732741952617. The next prime is 688732741952653. The reversal of 688732741952640 is 46259147237886.

688732741952640 is a `hidden beast` number, since 6 + 8 + 8 + 7 + 3 + 274 + 1 + 95 + 264 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 630130595934 + ... + 630130597026.

It is an arithmetic number, because the mean of its divisors is an integer number (818878271904).

It is a 2-persistent number, because it is pandigital, and so is 2⋅688732741952640 = 1377465483905280, but 3⋅688732741952640 = 2066198225857920 is not.

Almost surely, 2^{688732741952640} is an apocalyptic number.

688732741952640 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 688732741952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572246282055680).

688732741952640 is an abundant number, since it is smaller than the sum of its proper divisors (2455759822158720).

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

688732741952640 is a wasteful number, since it uses less digits than its factorization.

688732741952640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 688732741952640 in words is "six hundred eighty-eight trillion, seven hundred thirty-two billion, seven hundred forty-one million, nine hundred fifty-two thousand, six hundred forty".