4762833648 has 80 divisors (see below), whose sum is σ = 12447703296. Its totient is φ = 1569139200.

The previous prime is 4762833641. The next prime is 4762833653. The reversal of 4762833648 is 8463382674.

It is a self number, because there is not a number n which added to its sum of digits gives 4762833648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4762833641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3085965 + ... + 3087507.

Almost surely, 2^4762833648 is an apocalyptic number.

4762833648 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 4762833648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223851648).

4762833648 is an abundant number, since it is smaller than the sum of its proper divisors (7684869648).

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

4762833648 is a wasteful number, since it uses less digits than its factorization.

4762833648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2256 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The square root of 4762833648 is about 69013.2860252285. The cubic root of 4762833648 is about 1682.5002510916.

The spelling of 4762833648 in words is "four billion, seven hundred sixty-two million, eight hundred thirty-three thousand, six hundred forty-eight".