368064144000 has 1536 divisors, whose sum is σ = 1637108029440. Its totient is φ = 77325926400.

The previous prime is 368064143989. The next prime is 368064144011. The reversal of 368064144000 is 441460863.

368064144000 is a `hidden beast` number, since 3 + 6 + 8 + 0 + 641 + 4 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (368064143989) and next prime (368064144011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 805391772 + ... + 805392228.

It is an arithmetic number, because the mean of its divisors is an integer number (1065825540).

Almost surely, 2^368064144000 is an apocalyptic number.

368064144000 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 368064144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818554014720).

368064144000 is an abundant number, since it is smaller than the sum of its proper divisors (1269043885440).

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

368064144000 is a wasteful number, since it uses less digits than its factorization.

368064144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 368064144000 in words is "three hundred sixty-eight billion, sixty-four million, one hundred forty-four thousand".