681068908800 has 1728 divisors, whose sum is σ = 3024926392320. Its totient is φ = 146644992000.

The previous prime is 681068908799. The next prime is 681068908837. The reversal of 681068908800 is 8809860186.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1537401379 + ... + 1537401821.

Almost surely, 2^681068908800 is an apocalyptic number.

681068908800 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 681068908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512463196160).

681068908800 is an abundant number, since it is smaller than the sum of its proper divisors (2343857483520).

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

681068908800 is a wasteful number, since it uses less digits than its factorization.

681068908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 681068908800 in words is "six hundred eighty-one billion, sixty-eight million, nine hundred eight thousand, eight hundred".