4766873328 has 200 divisors, whose sum is σ = 15933167712. Its totient is φ = 1347674112.

The previous prime is 4766873327. The next prime is 4766873329. The reversal of 4766873328 is 8233786674.

It is an interprime number because it is at equal distance from previous prime (4766873327) and next prime (4766873329).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4766873327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 877276 + ... + 882692.

Almost surely, 2^4766873328 is an apocalyptic number.

4766873328 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 4766873328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966583856).

4766873328 is an abundant number, since it is smaller than the sum of its proper divisors (11166294384).

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

4766873328 is a wasteful number, since it uses less digits than its factorization.

4766873328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5526 counting only the distinct ones).

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

The square root of 4766873328 is about 69042.5472299509. The cubic root of 4766873328 is about 1682.9757972632.

The spelling of 4766873328 in words is "four billion, seven hundred sixty-six million, eight hundred seventy-three thousand, three hundred twenty-eight".