4679845632 has 432 divisors, whose sum is σ = 17463543552. Its totient is φ = 1214300160.

The previous prime is 4679845579. The next prime is 4679845633. The reversal of 4679845632 is 2365489764.

4679845632 is a `hidden beast` number, since 4 + 6 + 79 + 8 + 4 + 563 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4679845633) 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 47 ways as a sum of consecutive naturals, for example, 4789528 + ... + 4790504.

Almost surely, 2^4679845632 is an apocalyptic number.

4679845632 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 4679845632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731771776).

4679845632 is an abundant number, since it is smaller than the sum of its proper divisors (12783697920).

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

4679845632 is an equidigital number, since it uses as much as digits as its factorization.

4679845632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1000 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 4679845632 is about 68409.3972492084. The cubic root of 4679845632 is about 1672.6709302670.

The spelling of 4679845632 in words is "four billion, six hundred seventy-nine million, eight hundred forty-five thousand, six hundred thirty-two".