4671477824 has 56 divisors (see below), whose sum is σ = 10013262168. Its totient is φ = 2149539840.

The previous prime is 4671477793. The next prime is 4671477827. The reversal of 4671477824 is 4287741764.

It can be written as a sum of positive squares in 4 ways, for example, as 24601600 + 4646876224 = 4960^2 + 68168^2 .

It is not an unprimeable number, because it can be changed into a prime (4671477827) 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 7 ways as a sum of consecutive naturals, for example, 272054 + ... + 288714.

It is an arithmetic number, because the mean of its divisors is an integer number (178808253).

Almost surely, 2^4671477824 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 4671477824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006631084).

4671477824 is an abundant number, since it is smaller than the sum of its proper divisors (5341784344).

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

4671477824 is a wasteful number, since it uses less digits than its factorization.

4671477824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17023 (or 17013 counting only the distinct ones).

The product of its digits is 2107392, while the sum is 50.

The square root of 4671477824 is about 68348.2101009236. The cubic root of 4671477824 is about 1671.6733945361.

The spelling of 4671477824 in words is "four billion, six hundred seventy-one million, four hundred seventy-seven thousand, eight hundred twenty-four".