4578334732800 has 720 divisors, whose sum is σ = 16872026371200. Its totient is φ = 1184882688000.

The previous prime is 4578334732799. The next prime is 4578334732801. The reversal of 4578334732800 is 82374338754.

4578334732800 is a `hidden beast` number, since 4 + 578 + 3 + 3 + 47 + 3 + 28 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4578334732799) and next prime (4578334732801).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4578334732800² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4578334732801) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 939914365 + ... + 939919235.

It is an arithmetic number, because the mean of its divisors is an integer number (23433369960).

Almost surely, 2^{4578334732800} is an apocalyptic number.

4578334732800 is a gapful number since it is divisible by the number (40) 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 4578334732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436013185600).

4578334732800 is an abundant number, since it is smaller than the sum of its proper divisors (12293691638400).

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

4578334732800 is a wasteful number, since it uses less digits than its factorization.

4578334732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5121 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 4578334732800 in words is "four trillion, five hundred seventy-eight billion, three hundred thirty-four million, seven hundred thirty-two thousand, eight hundred".