680144122080 has 384 divisors, whose sum is σ = 2394490291200. Its totient is φ = 180310136832.

The previous prime is 680144122061. The next prime is 680144122103. The reversal of 680144122080 is 80221441086.

680144122080 is a `hidden beast` number, since 6 + 8 + 0 + 1 + 441 + 2 + 208 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797354934 + ... + 797355786.

It is an arithmetic number, because the mean of its divisors is an integer number (6235651800).

Almost surely, 2^680144122080 is an apocalyptic number.

680144122080 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 680144122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197245145600).

680144122080 is an abundant number, since it is smaller than the sum of its proper divisors (1714346169120).

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

680144122080 is a wasteful number, since it uses less digits than its factorization.

680144122080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 680144122080 in words is "six hundred eighty billion, one hundred forty-four million, one hundred twenty-two thousand, eighty".