368242056000 has 2688 divisors, whose sum is σ = 1753853337600. Its totient is φ = 73156608000.

The previous prime is 368242055989. The next prime is 368242056029. The reversal of 368242056000 is 650242863.

368242056000 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 42 + 0 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 9952487982 + ... + 9952488018.

It is an arithmetic number, because the mean of its divisors is an integer number (652475200).

Almost surely, 2^368242056000 is an apocalyptic number.

368242056000 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 368242056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876926668800).

368242056000 is an abundant number, since it is smaller than the sum of its proper divisors (1385611281600).

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

368242056000 is a wasteful number, since it uses less digits than its factorization.

368242056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 368242056000 its reverse (650242863), we get a palindrome (368892298863).

The spelling of 368242056000 in words is "three hundred sixty-eight billion, two hundred forty-two million, fifty-six thousand".