681465684060 has 384 divisors, whose sum is σ = 2475357696000. Its totient is φ = 155579719680.

The previous prime is 681465684049. The next prime is 681465684103. The reversal of 681465684060 is 60486564186.

681465684060 is a `hidden beast` number, since 6 + 8 + 14 + 6 + 568 + 4 + 0 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 681465683988 and 681465684006.

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 127 ways as a sum of consecutive naturals, for example, 213557065 + ... + 213560255.

It is an arithmetic number, because the mean of its divisors is an integer number (6446244000).

Almost surely, 2^681465684060 is an apocalyptic number.

681465684060 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 681465684060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237678848000).

681465684060 is an abundant number, since it is smaller than the sum of its proper divisors (1793892011940).

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

681465684060 is a wasteful number, since it uses less digits than its factorization.

681465684060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4361 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 681465684060 in words is "six hundred eighty-one billion, four hundred sixty-five million, six hundred eighty-four thousand, sixty".