368604784800 has 864 divisors, whose sum is σ = 1579486656384. Its totient is φ = 78962688000.

The previous prime is 368604784787. The next prime is 368604784813. The reversal of 368604784800 is 8487406863.

368604784800 is a `hidden beast` number, since 3 + 68 + 60 + 47 + 8 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (368604784787) and next prime (368604784813).

It is a super-2 number, since 2×368604784800² (a number of 24 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 240760035 + ... + 240761565.

It is an arithmetic number, because the mean of its divisors is an integer number (1828109556).

Almost surely, 2^368604784800 is an apocalyptic number.

368604784800 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 368604784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789743328192).

368604784800 is an abundant number, since it is smaller than the sum of its proper divisors (1210881871584).

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

368604784800 is a wasteful number, since it uses less digits than its factorization.

368604784800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 368604784800 in words is "three hundred sixty-eight billion, six hundred four million, seven hundred eighty-four thousand, eight hundred".