368242368000 has 1280 divisors, whose sum is σ = 1396734603264. Its totient is φ = 85465497600.

The previous prime is 368242367989. The next prime is 368242368083. The reversal of 368242368000 is 863242863.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 5044415964 + ... + 5044416036.

Almost surely, 2^368242368000 is an apocalyptic number.

368242368000 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 368242368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698367301632).

368242368000 is an abundant number, since it is smaller than the sum of its proper divisors (1028492235264).

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

368242368000 is a wasteful number, since it uses less digits than its factorization.

368242368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 368242368000 in words is "three hundred sixty-eight billion, two hundred forty-two million, three hundred sixty-eight thousand".