681080400000 has 3456 divisors, whose sum is σ = 3471825913920. Its totient is φ = 130636800000.

The previous prime is 681080399971. The next prime is 681080400059. The reversal of 681080400000 is 4080186.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×681080400000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 52390799994 + ... + 52390800006.

Almost surely, 2^681080400000 is an apocalyptic number.

681080400000 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 681080400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735912956960).

681080400000 is an abundant number, since it is smaller than the sum of its proper divisors (2790745513920).

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

681080400000 is an equidigital number, since it uses as much as digits as its factorization.

681080400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 681080400000 its reverse (4080186), we get a palindrome (681084480186).

The spelling of 681080400000 in words is "six hundred eighty-one billion, eighty million, four hundred thousand".