682273335744 has 1344 divisors, whose sum is σ = 2841242406912. Its totient is φ = 150582067200.

The previous prime is 682273335691. The next prime is 682273335851. The reversal of 682273335744 is 447533372286.

682273335744 is a `hidden beast` number, since 68 + 2 + 2 + 7 + 3 + 3 + 3 + 574 + 4 = 666.

682273335744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 460683484 + ... + 460684964.

It is an arithmetic number, because the mean of its divisors is an integer number (2114019648).

Almost surely, 2^682273335744 is an apocalyptic number.

682273335744 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 682273335744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420621203456).

682273335744 is an abundant number, since it is smaller than the sum of its proper divisors (2158969071168).

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

682273335744 is a wasteful number, since it uses less digits than its factorization.

682273335744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1581 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 682273335744 in words is "six hundred eighty-two billion, two hundred seventy-three million, three hundred thirty-five thousand, seven hundred forty-four".