4800676488784 has 120 divisors (see below), whose sum is σ = 10329156469800. Its totient is φ = 2159646720000.

The previous prime is 4800676488779. The next prime is 4800676488787. The reversal of 4800676488784 is 4878846760084.

It can be written as a sum of positive squares in 4 ways, for example, as 2462162680384 + 2338513808400 = 1569128^2 + 1529220^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4800676488787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909044224 + ... + 909049504.

It is an arithmetic number, because the mean of its divisors is an integer number (86076303915).

Almost surely, 2^{4800676488784} is an apocalyptic number.

4800676488784 is a gapful number since it is divisible by the number (44) 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 4800676488784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164578234900).

4800676488784 is an abundant number, since it is smaller than the sum of its proper divisors (5528479981016).

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

4800676488784 is a wasteful number, since it uses less digits than its factorization.

4800676488784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10061 (or 10044 counting only the distinct ones).

The product of its (nonzero) digits is 462422016, while the sum is 70.

The spelling of 4800676488784 in words is "four trillion, eight hundred billion, six hundred seventy-six million, four hundred eighty-eight thousand, seven hundred eighty-four".