688524362064 has 960 divisors, whose sum is σ = 2528375316480. Its totient is φ = 171201254400.

The previous prime is 688524362059. The next prime is 688524362101. The reversal of 688524362064 is 460263425886.

It is a happy number.

688524362064 is a `hidden beast` number, since 6 + 8 + 8 + 5 + 2 + 4 + 3 + 620 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 688524362064.

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 191 ways as a sum of consecutive naturals, for example, 3846504727 + ... + 3846504905.

It is an arithmetic number, because the mean of its divisors is an integer number (2633724288).

Almost surely, 2^688524362064 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 688524362064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264187658240).

688524362064 is an abundant number, since it is smaller than the sum of its proper divisors (1839850954416).

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

688524362064 is a wasteful number, since it uses less digits than its factorization.

688524362064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 688524362064 in words is "six hundred eighty-eight billion, five hundred twenty-four million, three hundred sixty-two thousand, sixty-four".