681990965760 has 1280 divisors, whose sum is σ = 2565915770880. Its totient is φ = 153204817920.

The previous prime is 681990965743. The next prime is 681990965797. The reversal of 681990965760 is 67569099186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×681990965760² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 681990965691 and 681990965700.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7662819796 + ... + 7662819884.

It is an arithmetic number, because the mean of its divisors is an integer number (2004621696).

Almost surely, 2^681990965760 is an apocalyptic number.

681990965760 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 681990965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282957885440).

681990965760 is an abundant number, since it is smaller than the sum of its proper divisors (1883924805120).

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

681990965760 is a wasteful number, since it uses less digits than its factorization.

681990965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 66.

The spelling of 681990965760 in words is "six hundred eighty-one billion, nine hundred ninety million, nine hundred sixty-five thousand, seven hundred sixty".