682041596544 has 1440 divisors, whose sum is σ = 2682507041280. Its totient is φ = 170089113600.

The previous prime is 682041596543. The next prime is 682041596569. The reversal of 682041596544 is 445695140286.

It is a happy number.

682041596544 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 4 + 1 + 5 + 96 + 544 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (682041596543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5370406209 + ... + 5370406335.

It is an arithmetic number, because the mean of its divisors is an integer number (1862852112).

Almost surely, 2^682041596544 is an apocalyptic number.

682041596544 is a gapful number since it is divisible by the number (64) 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 682041596544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341253520640).

682041596544 is an abundant number, since it is smaller than the sum of its proper divisors (2000465444736).

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

682041596544 is a wasteful number, since it uses less digits than its factorization.

682041596544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 682041596544 in words is "six hundred eighty-two billion, forty-one million, five hundred ninety-six thousand, five hundred forty-four".