363440645568 has 1008 divisors, whose sum is σ = 1507702551264. Its totient is φ = 81997332480.

The previous prime is 363440645567. The next prime is 363440645569. The reversal of 363440645568 is 865546044363.

363440645568 is a `hidden beast` number, since 3 + 6 + 34 + 4 + 0 + 6 + 45 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (363440645567) and next prime (363440645569).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363440645567) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68609896 + ... + 68615192.

It is an arithmetic number, because the mean of its divisors is an integer number (1495736658).

Almost surely, 2^363440645568 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 363440645568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753851275632).

363440645568 is an abundant number, since it is smaller than the sum of its proper divisors (1144261905696).

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

363440645568 is a wasteful number, since it uses less digits than its factorization.

363440645568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 5350 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 363440645568 in words is "three hundred sixty-three billion, four hundred forty million, six hundred forty-five thousand, five hundred sixty-eight".