681786593280 has 1248 divisors, whose sum is σ = 2704838572800. Its totient is φ = 157582098432.

The previous prime is 681786593273. The next prime is 681786593287. The reversal of 681786593280 is 82395687186.

681786593280 is a `hidden beast` number, since 6 + 8 + 17 + 8 + 6 + 593 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (681786593273) and next prime (681786593287).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (681786593287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4904939451 + ... + 4904939589.

It is an arithmetic number, because the mean of its divisors is an integer number (2167338600).

Almost surely, 2^681786593280 is an apocalyptic number.

681786593280 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 681786593280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352419286400).

681786593280 is an abundant number, since it is smaller than the sum of its proper divisors (2023051979520).

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

681786593280 is a wasteful number, since it uses less digits than its factorization.

681786593280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 681786593280 in words is "six hundred eighty-one billion, seven hundred eighty-six million, five hundred ninety-three thousand, two hundred eighty".