4608781632 has 672 divisors, whose sum is σ = 17512588800. Its totient is φ = 1177473024.

The previous prime is 4608781631. The next prime is 4608781633. The reversal of 4608781632 is 2361878064.

4608781632 is a `hidden beast` number, since 4 + 6 + 0 + 8 + 7 + 8 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (4608781631) and next prime (4608781633).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4608781631) 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 95 ways as a sum of consecutive naturals, for example, 58338969 + ... + 58339047.

It is an arithmetic number, because the mean of its divisors is an integer number (26060400).

Almost surely, 2^4608781632 is an apocalyptic number.

4608781632 is a gapful number since it is divisible by the number (42) 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 4608781632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8756294400).

4608781632 is an abundant number, since it is smaller than the sum of its proper divisors (12903807168).

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

4608781632 is a wasteful number, since it uses less digits than its factorization.

4608781632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4608781632 is about 67888.0080131977. The cubic root of 4608781632 is about 1664.1611422470.

The spelling of 4608781632 in words is "four billion, six hundred eight million, seven hundred eighty-one thousand, six hundred thirty-two".