4766630000 has 200 divisors, whose sum is σ = 13335418800. Its totient is φ = 1630720000.

The previous prime is 4766629999. The next prime is 4766630003. The reversal of 4766630000 is 366674.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4766630003) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1868726 + ... + 1871274.

It is an arithmetic number, because the mean of its divisors is an integer number (66677094).

Almost surely, 2^4766630000 is an apocalyptic number.

4766630000 is a gapful number since it is divisible by the number (40) 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 4766630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667709400).

4766630000 is an abundant number, since it is smaller than the sum of its proper divisors (8568788800).

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

4766630000 is a wasteful number, since it uses less digits than its factorization.

4766630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 4766630000 is about 69040.7850476803. The cubic root of 4766630000 is about 1682.9471605954.

Adding to 4766630000 its reverse (366674), we get a palindrome (4766996674).

The spelling of 4766630000 in words is "four billion, seven hundred sixty-six million, six hundred thirty thousand".