4689780480 has 864 divisors, whose sum is σ = 21488882688. Its totient is φ = 914227200.

The previous prime is 4689780439. The next prime is 4689780503. The reversal of 4689780480 is 840879864.

4689780480 is a `hidden beast` number, since 4 + 6 + 89 + 7 + 80 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15079525 + ... + 15079835.

It is an arithmetic number, because the mean of its divisors is an integer number (24871392).

Almost surely, 2^4689780480 is an apocalyptic number.

4689780480 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 4689780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10744441344).

4689780480 is an abundant number, since it is smaller than the sum of its proper divisors (16799102208).

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

4689780480 is a wasteful number, since it uses less digits than its factorization.

4689780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 4689780480 is about 68481.9719342251. The cubic root of 4689780480 is about 1673.8537318190.

The spelling of 4689780480 in words is "four billion, six hundred eighty-nine million, seven hundred eighty thousand, four hundred eighty".