368541358080 has 384 divisors, whose sum is σ = 1349546365440. Its totient is φ = 84108902400.

The previous prime is 368541358043. The next prime is 368541358121. The reversal of 368541358080 is 80853145863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258262327 + ... + 258263753.

It is an arithmetic number, because the mean of its divisors is an integer number (3514443660).

Almost surely, 2^368541358080 is an apocalyptic number.

368541358080 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 368541358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674773182720).

368541358080 is an abundant number, since it is smaller than the sum of its proper divisors (981005007360).

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

368541358080 is a wasteful number, since it uses less digits than its factorization.

368541358080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 368541358080 in words is "three hundred sixty-eight billion, five hundred forty-one million, three hundred fifty-eight thousand, eighty".