4760461760 has 56 divisors (see below), whose sum is σ = 11401507296. Its totient is φ = 1893155840.

The previous prime is 4760461721. The next prime is 4760461807. The reversal of 4760461760 is 671640674.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12365 + ... + 98355.

Almost surely, 2^4760461760 is an apocalyptic number.

4760461760 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 4760461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5700753648).

4760461760 is an abundant number, since it is smaller than the sum of its proper divisors (6641045536).

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

4760461760 is a wasteful number, since it uses less digits than its factorization.

4760461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86181 (or 86171 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 4760461760 is about 68996.0995999049. The cubic root of 4760461760 is about 1682.2209100459.

The spelling of 4760461760 in words is "four billion, seven hundred sixty million, four hundred sixty-one thousand, seven hundred sixty".