681853800960 has 480 divisors, whose sum is σ = 2501124417792. Its totient is φ = 177951375360.

The previous prime is 681853800917. The next prime is 681853800967. The reversal of 681853800960 is 69008358186.

681853800960 is a `hidden beast` number, since 6 + 8 + 18 + 538 + 0 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 681853800897 and 681853800906.

It is not an unprimeable number, because it can be changed into a prime (681853800967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29226100 + ... + 29249420.

Almost surely, 2^681853800960 is an apocalyptic number.

681853800960 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 681853800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250562208896).

681853800960 is an abundant number, since it is smaller than the sum of its proper divisors (1819270616832).

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

681853800960 is an equidigital number, since it uses as much as digits as its factorization.

681853800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23406 (or 23378 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 681853800960 in words is "six hundred eighty-one billion, eight hundred fifty-three million, eight hundred thousand, nine hundred sixty".