4767683328 has 252 divisors, whose sum is σ = 14543938920. Its totient is φ = 1558683648.

The previous prime is 4767683311. The next prime is 4767683339. The reversal of 4767683328 is 8233867674.

4767683328 is a `hidden beast` number, since 476 + 76 + 83 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11010600 + ... + 11011032.

Almost surely, 2^4767683328 is an apocalyptic number.

4767683328 is a gapful number since it is divisible by the number (48) 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 4767683328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271969460).

4767683328 is an abundant number, since it is smaller than the sum of its proper divisors (9776255592).

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

4767683328 is an frugal number, since it uses more digits than its factorization.

4767683328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 497 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 4767683328 is about 69048.4129289008. The cubic root of 4767683328 is about 1683.0711171298.

The spelling of 4767683328 in words is "four billion, seven hundred sixty-seven million, six hundred eighty-three thousand, three hundred twenty-eight".