4766805824 has 56 divisors (see below), whose sum is σ = 10435132800. Its totient is φ = 2142356480.

The previous prime is 4766805817. The next prime is 4766805829. The reversal of 4766805824 is 4285086674.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4766805829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24617 + ... + 100695.

Almost surely, 2^4766805824 is an apocalyptic number.

4766805824 is a gapful number since it is divisible by the number (44) 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 4766805824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217566400).

4766805824 is an abundant number, since it is smaller than the sum of its proper divisors (5668326976).

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

4766805824 is a wasteful number, since it uses less digits than its factorization.

4766805824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76191 (or 76181 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The square root of 4766805824 is about 69042.0583702427. The cubic root of 4766805824 is about 1682.9678529828.

The spelling of 4766805824 in words is "four billion, seven hundred sixty-six million, eight hundred five thousand, eight hundred twenty-four".