680042523888 has 640 divisors, whose sum is σ = 2565329141760. Its totient is φ = 167554759680.

The previous prime is 680042523859. The next prime is 680042523889. The reversal of 680042523888 is 888325240086.

680042523888 is a `hidden beast` number, since 6 + 8 + 0 + 0 + 4 + 252 + 388 + 8 = 666.

It is a super-2 number, since 2×680042523888² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680042523889) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38870823 + ... + 38888313.

It is an arithmetic number, because the mean of its divisors is an integer number (4008326784).

Almost surely, 2^680042523888 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 680042523888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282664570880).

680042523888 is an abundant number, since it is smaller than the sum of its proper divisors (1885286617872).

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

680042523888 is a wasteful number, since it uses less digits than its factorization.

680042523888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17594 (or 17582 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 680042523888 in words is "six hundred eighty billion, forty-two million, five hundred twenty-three thousand, eight hundred eighty-eight".