4777984512 has 240 divisors, whose sum is σ = 16086470400. Its totient is φ = 1364686848.

The previous prime is 4777984507. The next prime is 4777984553. The reversal of 4777984512 is 2154897774.

4777984512 is a `hidden beast` number, since 47 + 7 + 7 + 9 + 84 + 512 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1579033 + ... + 1582055.

It is an arithmetic number, because the mean of its divisors is an integer number (67026960).

Almost surely, 2^4777984512 is an apocalyptic number.

4777984512 is a gapful number since it is divisible by the number (42) 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 4777984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043235200).

4777984512 is an abundant number, since it is smaller than the sum of its proper divisors (11308485888).

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

4777984512 is an equidigital number, since it uses as much as digits as its factorization.

4777984512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3035 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The square root of 4777984512 is about 69122.9666030040. The cubic root of 4777984512 is about 1684.2824079759.

The spelling of 4777984512 in words is "four billion, seven hundred seventy-seven million, nine hundred eighty-four thousand, five hundred twelve".