4678452028800 has 432 divisors, whose sum is σ = 18349385030340. Its totient is φ = 1134169344000.

The previous prime is 4678452028741. The next prime is 4678452028867. The reversal of 4678452028800 is 88202548764.

4678452028800 is a `hidden beast` number, since 46 + 78 + 4 + 520 + 2 + 8 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2813535 + ... + 4156065.

Almost surely, 2^{4678452028800} is an apocalyptic number.

4678452028800 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 4678452028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174692515170).

4678452028800 is an abundant number, since it is smaller than the sum of its proper divisors (13670933001540).

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

4678452028800 is a wasteful number, since it uses less digits than its factorization.

4678452028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342583 (or 1342552 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 4678452028800 in words is "four trillion, six hundred seventy-eight billion, four hundred fifty-two million, twenty-eight thousand, eight hundred".