340639707168 has 288 divisors, whose sum is σ = 1005054365952. Its totient is φ = 109375488000.

The previous prime is 340639707167. The next prime is 340639707193. The reversal of 340639707168 is 861707936043.

340639707168 is a `hidden beast` number, since 3 + 406 + 3 + 9 + 70 + 7 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (340639707167) 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 47 ways as a sum of consecutive naturals, for example, 263856603 + ... + 263857893.

It is an arithmetic number, because the mean of its divisors is an integer number (3489772104).

Almost surely, 2^340639707168 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 340639707168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502527182976).

340639707168 is an abundant number, since it is smaller than the sum of its proper divisors (664414658784).

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

340639707168 is a wasteful number, since it uses less digits than its factorization.

340639707168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 340639707168 in words is "three hundred forty billion, six hundred thirty-nine million, seven hundred seven thousand, one hundred sixty-eight".