4872476160000 has 1040 divisors, whose sum is σ = 18193554324000. Its totient is φ = 1288175616000.

The previous prime is 4872476159981. The next prime is 4872476160011. The reversal of 4872476160000 is 616742784.

4872476160000 is a `hidden beast` number, since 4 + 8 + 7 + 24 + 7 + 616 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10851839776 + ... + 10851840224.

Almost surely, 2^{4872476160000} is an apocalyptic number.

4872476160000 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 4872476160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9096777162000).

4872476160000 is an abundant number, since it is smaller than the sum of its proper divisors (13321078164000).

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

4872476160000 is an equidigital number, since it uses as much as digits as its factorization.

4872476160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 4872476160000 in words is "four trillion, eight hundred seventy-two billion, four hundred seventy-six million, one hundred sixty thousand".