4761000000 has 441 divisors, whose sum is σ = 17831861593. Its totient is φ = 1214400000.

The previous prime is 4760999987. The next prime is 4761000001. The reversal of 4761000000 is 1674.

The square root of 4761000000 is 69000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 4171093056 + 589906944 = 64584^2 + 24288^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4761000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 206999989 + ... + 207000011.

Almost surely, 2^4761000000 is an apocalyptic number.

4761000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4761000000 is the 69000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761000000

4761000000 is an abundant number, since it is smaller than the sum of its proper divisors (13070861593).

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

4761000000 is an frugal number, since it uses more digits than its factorization.

4761000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The cubic root of 4761000000 is about 1682.2843075695.

Adding to 4761000000 its reverse (1674), we get a palindrome (4761001674).

The spelling of 4761000000 in words is "four billion, seven hundred sixty-one million", and thus it is an aban number.