340165673568 has 288 divisors, whose sum is σ = 1192662709056. Its totient is φ = 89746735104.

The previous prime is 340165673563. The next prime is 340165673579. The reversal of 340165673568 is 865376561043.

340165673568 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 6 + 5 + 6 + 73 + 568 = 666.

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

It is a super-2 number, since 2×340165673568² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340165673563) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1722780 + ... + 1910052.

It is an arithmetic number, because the mean of its divisors is an integer number (4141189962).

Almost surely, 2^340165673568 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 340165673568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596331354528).

340165673568 is an abundant number, since it is smaller than the sum of its proper divisors (852497035488).

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

340165673568 is a wasteful number, since it uses less digits than its factorization.

340165673568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187366 (or 187355 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 340165673568 in words is "three hundred forty billion, one hundred sixty-five million, six hundred seventy-three thousand, five hundred sixty-eight".