368289840960 has 280 divisors, whose sum is σ = 1379024745120. Its totient is φ = 93041519616.

The previous prime is 368289840937. The next prime is 368289840967. The reversal of 368289840960 is 69048982863.

368289840960 is a `hidden beast` number, since 3 + 6 + 82 + 8 + 98 + 409 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368289840967) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 118567 + ... + 866393.

Almost surely, 2^368289840960 is an apocalyptic number.

368289840960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368289840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689512372560).

368289840960 is an abundant number, since it is smaller than the sum of its proper divisors (1010734904160).

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

368289840960 is a wasteful number, since it uses less digits than its factorization.

368289840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747875 (or 747856 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 368289840960 in words is "three hundred sixty-eight billion, two hundred eighty-nine million, eight hundred forty thousand, nine hundred sixty".