681774428160 has 1872 divisors, whose sum is σ = 3015343000800. Its totient is φ = 141501136896.

The previous prime is 681774428099. The next prime is 681774428177. The reversal of 681774428160 is 61824477186.

681774428160 is a `hidden beast` number, since 68 + 1 + 7 + 7 + 442 + 81 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 681774428097 and 681774428106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4976455612 + ... + 4976455748.

It is an arithmetic number, because the mean of its divisors is an integer number (1610760150).

Almost surely, 2^681774428160 is an apocalyptic number.

681774428160 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 681774428160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507671500400).

681774428160 is an abundant number, since it is smaller than the sum of its proper divisors (2333568572640).

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

681774428160 is a wasteful number, since it uses less digits than its factorization.

681774428160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 681774428160 in words is "six hundred eighty-one billion, seven hundred seventy-four million, four hundred twenty-eight thousand, one hundred sixty".