4624440064 has 72 divisors (see below), whose sum is σ = 9395205120. Its totient is φ = 2271360000.

The previous prime is 4624440043. The next prime is 4624440071. The reversal of 4624440064 is 4600444264.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5075769 + ... + 5076679.

It is an arithmetic number, because the mean of its divisors is an integer number (130488960).

Almost surely, 2^4624440064 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 4624440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697602560).

4624440064 is an abundant number, since it is smaller than the sum of its proper divisors (4770765056).

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

4624440064 is an equidigital number, since it uses as much as digits as its factorization.

4624440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

The square root of 4624440064 is about 68003.2356877230. The cubic root of 4624440064 is about 1666.0436859571.

The spelling of 4624440064 in words is "four billion, six hundred twenty-four million, four hundred forty thousand, sixty-four".