4761084160 has 288 divisors, whose sum is σ = 13723121664. Its totient is φ = 1548288000.

The previous prime is 4761084151. The next prime is 4761084173. The reversal of 4761084160 is 614801674.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16943220 + ... + 16943500.

It is an arithmetic number, because the mean of its divisors is an integer number (47649728).

Almost surely, 2^4761084160 is an apocalyptic number.

4761084160 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 4761084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861560832).

4761084160 is an abundant number, since it is smaller than the sum of its proper divisors (8962037504).

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

4761084160 is a wasteful number, since it uses less digits than its factorization.

4761084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 4761084160 is about 69000.6098523774. The cubic root of 4761084160 is about 1682.2942200678.

The spelling of 4761084160 in words is "four billion, seven hundred sixty-one million, eighty-four thousand, one hundred sixty".