681039848160 has 768 divisors, whose sum is σ = 2847069388800. Its totient is φ = 150627962880.

The previous prime is 681039848149. The next prime is 681039848207. The reversal of 681039848160 is 61848930186.

681039848160 is a `hidden beast` number, since 6 + 8 + 10 + 3 + 98 + 481 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 681039848097 and 681039848106.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 75928156 + ... + 75937124.

It is an arithmetic number, because the mean of its divisors is an integer number (3707121600).

Almost surely, 2^681039848160 is an apocalyptic number.

681039848160 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 681039848160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423534694400).

681039848160 is an abundant number, since it is smaller than the sum of its proper divisors (2166029540640).

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

681039848160 is an equidigital number, since it uses as much as digits as its factorization.

681039848160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9043 (or 9017 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 681039848160 in words is "six hundred eighty-one billion, thirty-nine million, eight hundred forty-eight thousand, one hundred sixty".