368240661070464 has 1536 divisors, whose sum is σ = 1288461693657600. Its totient is φ = 90625466695680.

The previous prime is 368240661070453. The next prime is 368240661070483. The reversal of 368240661070464 is 464070166042863.

It is a happy number.

It is a super-2 number, since 2×368240661070464² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192493810372 + ... + 192493812284.

It is an arithmetic number, because the mean of its divisors is an integer number (838842248475).

Almost surely, 2^{368240661070464} 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 368240661070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644230846828800).

368240661070464 is an abundant number, since it is smaller than the sum of its proper divisors (920221032587136).

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

368240661070464 is a wasteful number, since it uses less digits than its factorization.

368240661070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 368240661070464 in words is "three hundred sixty-eight trillion, two hundred forty billion, six hundred sixty-one million, seventy thousand, four hundred sixty-four".