4789711180800 has 1584 divisors, whose sum is σ = 21891320726912. Its totient is φ = 1010456985600.

The previous prime is 4789711180777. The next prime is 4789711180801. The reversal of 4789711180800 is 80811179874.

4789711180800 is a `hidden beast` number, since 478 + 9 + 7 + 1 + 11 + 80 + 80 + 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 not an unprimeable number, because it can be changed into a prime (4789711180801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 566088570 + ... + 566097030.

Almost surely, 2^{4789711180800} is an apocalyptic number.

4789711180800 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 4789711180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10945660363456).

4789711180800 is an abundant number, since it is smaller than the sum of its proper divisors (17101609546112).

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

4789711180800 is a wasteful number, since it uses less digits than its factorization.

4789711180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8526 (or 8491 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 54.

The spelling of 4789711180800 in words is "four trillion, seven hundred eighty-nine billion, seven hundred eleven million, one hundred eighty thousand, eight hundred".