4784284560 has 320 divisors, whose sum is σ = 17032052736. Its totient is φ = 1100236800.

The previous prime is 4784284499. The next prime is 4784284573. The reversal of 4784284560 is 654824874.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4336969 + ... + 4338071.

Almost surely, 2^4784284560 is an apocalyptic number.

4784284560 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 4784284560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8516026368).

4784284560 is an abundant number, since it is smaller than the sum of its proper divisors (12247768176).

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

4784284560 is a wasteful number, since it uses less digits than its factorization.

4784284560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The square root of 4784284560 is about 69168.5228987868. The cubic root of 4784284560 is about 1685.0223573303.

The spelling of 4784284560 in words is "four billion, seven hundred eighty-four million, two hundred eighty-four thousand, five hundred sixty".