681415987200 has 312 divisors, whose sum is σ = 2426257813728. Its totient is φ = 167732183040.

The previous prime is 681415987199. The next prime is 681415987237. The reversal of 681415987200 is 2789514186.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×681415987200² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3908287 + ... + 4078913.

Almost surely, 2^681415987200 is an apocalyptic number.

681415987200 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 681415987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213128906864).

681415987200 is an abundant number, since it is smaller than the sum of its proper divisors (1744841826528).

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

681415987200 is a wasteful number, since it uses less digits than its factorization.

681415987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170677 (or 170650 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 681415987200 in words is "six hundred eighty-one billion, four hundred fifteen million, nine hundred eighty-seven thousand, two hundred".