4683004048800 has 3888 divisors, whose sum is σ = 23281656128640. Its totient is φ = 912019046400.

The previous prime is 4683004048787. The next prime is 4683004048841. The reversal of 4683004048800 is 88404003864.

4683004048800 is a `hidden beast` number, since 468 + 30 + 0 + 40 + 48 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 19594159081 + ... + 19594159319.

It is an arithmetic number, because the mean of its divisors is an integer number (5988080280).

Almost surely, 2^{4683004048800} is an apocalyptic number.

4683004048800 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 4683004048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11640828064320).

4683004048800 is an abundant number, since it is smaller than the sum of its proper divisors (18598652079840).

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

4683004048800 is a wasteful number, since it uses less digits than its factorization.

4683004048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 4683004048800 in words is "four trillion, six hundred eighty-three billion, four million, forty-eight thousand, eight hundred".