4684128768000 has 1872 divisors, whose sum is σ = 19229828007936. Its totient is φ = 1094860800000.

The previous prime is 4684128767987. The next prime is 4684128768019. The reversal of 4684128768000 is 8678214864.

4684128768000 is a `hidden beast` number, since 468 + 41 + 2 + 87 + 68 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17284607865 + ... + 17284608135.

Almost surely, 2^{4684128768000} is an apocalyptic number.

4684128768000 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 4684128768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9614914003968).

4684128768000 is an abundant number, since it is smaller than the sum of its proper divisors (14545699239936).

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

4684128768000 is a wasteful number, since it uses less digits than its factorization.

4684128768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 4684128768000 in words is "four trillion, six hundred eighty-four billion, one hundred twenty-eight million, seven hundred sixty-eight thousand".