4686085872000 has 3072 divisors, whose sum is σ = 20434063104000. Its totient is φ = 1057635532800.

The previous prime is 4686085871959. The next prime is 4686085872037. The reversal of 4686085872000 is 2785806864.

4686085872000 is a `hidden beast` number, since 4 + 6 + 8 + 608 + 5 + 8 + 7 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 33712847931 + ... + 33712848069.

It is an arithmetic number, because the mean of its divisors is an integer number (6651713250).

Almost surely, 2^{4686085872000} is an apocalyptic number.

4686085872000 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 4686085872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10217031552000).

4686085872000 is an abundant number, since it is smaller than the sum of its proper divisors (15747977232000).

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

4686085872000 is a wasteful number, since it uses less digits than its factorization.

4686085872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4686085872000 in words is "four trillion, six hundred eighty-six billion, eighty-five million, eight hundred seventy-two thousand".