4561477632 has 224 divisors, whose sum is σ = 13871813760. Its totient is φ = 1480458240.

The previous prime is 4561477603. The next prime is 4561477633. The reversal of 4561477632 is 2367741654.

4561477632 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 4 + 7 + 7 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (4561477633) 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 15 ways as a sum of consecutive naturals, for example, 9068293 + ... + 9068795.

It is an arithmetic number, because the mean of its divisors is an integer number (61927740).

Almost surely, 2^4561477632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4561477632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935906880).

4561477632 is an abundant number, since it is smaller than the sum of its proper divisors (9310336128).

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

4561477632 is an equidigital number, since it uses as much as digits as its factorization.

4561477632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 549 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 4561477632 is about 67538.7120990621. The cubic root of 4561477632 is about 1658.4479653381.

The spelling of 4561477632 in words is "four billion, five hundred sixty-one million, four hundred seventy-seven thousand, six hundred thirty-two".