4464328704 has 240 divisors, whose sum is σ = 13589130240. Its totient is φ = 1290403840.

The previous prime is 4464328667. The next prime is 4464328709. The reversal of 4464328704 is 4078234644.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4464328709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12435277 + ... + 12435635.

It is an arithmetic number, because the mean of its divisors is an integer number (56621376).

Almost surely, 2^4464328704 is an apocalyptic number.

4464328704 is a gapful number since it is divisible by the number (44) 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 4464328704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794565120).

4464328704 is an abundant number, since it is smaller than the sum of its proper divisors (9124801536).

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

4464328704 is a wasteful number, since it uses less digits than its factorization.

4464328704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The square root of 4464328704 is about 66815.6321828956. The cubic root of 4464328704 is about 1646.5896753729.

The spelling of 4464328704 in words is "four billion, four hundred sixty-four million, three hundred twenty-eight thousand, seven hundred four".