4860780083280 has 960 divisors, whose sum is σ = 18834332025600. Its totient is φ = 1112438046720.

The previous prime is 4860780083261. The next prime is 4860780083287. The reversal of 4860780083280 is 823800870684.

4860780083280 is a `hidden beast` number, since 4 + 8 + 607 + 8 + 0 + 0 + 8 + 3 + 28 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4860780083287) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5100503284 + ... + 5100504236.

It is an arithmetic number, because the mean of its divisors is an integer number (19619095860).

Almost surely, 2^{4860780083280} is an apocalyptic number.

4860780083280 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 4860780083280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9417166012800).

4860780083280 is an abundant number, since it is smaller than the sum of its proper divisors (13973551942320).

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

4860780083280 is a wasteful number, since it uses less digits than its factorization.

4860780083280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 4860780083280 in words is "four trillion, eight hundred sixty billion, seven hundred eighty million, eighty-three thousand, two hundred eighty".