681455063040 has 208 divisors, whose sum is σ = 2185399165248. Its totient is φ = 181303902208.

The previous prime is 681455062969. The next prime is 681455063053. The reversal of 681455063040 is 40360554186.

It is a junction number, because it is equal to n+sod(n) for n = 681455062983 and 681455063001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27205402 + ... + 27230438.

It is an arithmetic number, because the mean of its divisors is an integer number (10506726756).

Almost surely, 2^681455063040 is an apocalyptic number.

681455063040 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 681455063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092699582624).

681455063040 is an abundant number, since it is smaller than the sum of its proper divisors (1503944102208).

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

681455063040 is a wasteful number, since it uses less digits than its factorization.

681455063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25512 (or 25490 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 681455063040 in words is "six hundred eighty-one billion, four hundred fifty-five million, sixty-three thousand, forty".