680620923504 has 320 divisors, whose sum is σ = 2123060544000. Its totient is φ = 207968808960.

The previous prime is 680620923497. The next prime is 680620923509. The reversal of 680620923504 is 405329026086.

680620923504 is a `hidden beast` number, since 6 + 80 + 62 + 0 + 9 + 2 + 3 + 504 = 666.

It is a super-2 number, since 2×680620923504² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 680620923504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680620923509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47222059 + ... + 47236469.

It is an arithmetic number, because the mean of its divisors is an integer number (6634564200).

Almost surely, 2^680620923504 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 680620923504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061530272000).

680620923504 is an abundant number, since it is smaller than the sum of its proper divisors (1442439620496).

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

680620923504 is a wasteful number, since it uses less digits than its factorization.

680620923504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14613 (or 14601 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 680620923504 in words is "six hundred eighty billion, six hundred twenty million, nine hundred twenty-three thousand, five hundred four".