4630801760 has 96 divisors (see below), whose sum is σ = 11948150592. Its totient is φ = 1685698560.

The previous prime is 4630801757. The next prime is 4630801787. The reversal of 4630801760 is 671080364.

It is a self number, because there is not a number n which added to its sum of digits gives 4630801760.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 132002 + ... + 163358.

It is an arithmetic number, because the mean of its divisors is an integer number (124459902).

Almost surely, 2^4630801760 is an apocalyptic number.

4630801760 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 4630801760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974075296).

4630801760 is an abundant number, since it is smaller than the sum of its proper divisors (7317348832).

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

4630801760 is a wasteful number, since it uses less digits than its factorization.

4630801760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31456 (or 31448 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 4630801760 is about 68049.9945628212. The cubic root of 4630801760 is about 1666.8073104424.

The spelling of 4630801760 in words is "four billion, six hundred thirty million, eight hundred one thousand, seven hundred sixty".