682181649408 has 704 divisors, whose sum is σ = 2222314905600. Its totient is φ = 181954805760.

The previous prime is 682181649397. The next prime is 682181649433. The reversal of 682181649408 is 804946181286.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 3005205391 + ... + 3005205617.

Almost surely, 2^682181649408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682181649408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111157452800).

682181649408 is an abundant number, since it is smaller than the sum of its proper divisors (1540133256192).

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

682181649408 is a wasteful number, since it uses less digits than its factorization.

682181649408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 682181649408 in words is "six hundred eighty-two billion, one hundred eighty-one million, six hundred forty-nine thousand, four hundred eight".