4782808788480 has 1600 divisors, whose sum is σ = 18775880766720. Its totient is φ = 1158912147456.

The previous prime is 4782808788451. The next prime is 4782808788491. The reversal of 4782808788480 is 848878082874.

4782808788480 is a `hidden beast` number, since 4 + 78 + 2 + 8 + 0 + 8 + 78 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4782808788399 and 4782808788408.

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 159 ways as a sum of consecutive naturals, for example, 21069642127 + ... + 21069642353.

Almost surely, 2^{4782808788480} is an apocalyptic number.

4782808788480 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 4782808788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387940383360).

4782808788480 is an abundant number, since it is smaller than the sum of its proper divisors (13993071978240).

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

4782808788480 is a wasteful number, since it uses less digits than its factorization.

4782808788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 411041792, while the sum is 72.

The spelling of 4782808788480 in words is "four trillion, seven hundred eighty-two billion, eight hundred eight million, seven hundred eighty-eight thousand, four hundred eighty".