4464595968 has 176 divisors, whose sum is σ = 13683523584. Its totient is φ = 1267752960.

The previous prime is 4464595963. The next prime is 4464595991. The reversal of 4464595968 is 8695954644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464595963) 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, 4106721 + ... + 4107807.

Almost surely, 2^4464595968 is an apocalyptic number.

4464595968 is a gapful number since it is divisible by the number (48) 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 4464595968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841761792).

4464595968 is an abundant number, since it is smaller than the sum of its proper divisors (9218927616).

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

4464595968 is a wasteful number, since it uses less digits than its factorization.

4464595968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1290 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 60.

The square root of 4464595968 is about 66817.6321639730. The cubic root of 4464595968 is about 1646.6225332702.

The spelling of 4464595968 in words is "four billion, four hundred sixty-four million, five hundred ninety-five thousand, nine hundred sixty-eight".