4464064512 has 144 divisors (see below), whose sum is σ = 13169913120. Its totient is φ = 1456078848.

The previous prime is 4464064499. The next prime is 4464064513. The reversal of 4464064512 is 2154604644.

4464064512 is a `hidden beast` number, since 4 + 4 + 6 + 4 + 0 + 645 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4464064513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863728 + ... + 868880.

It is an arithmetic number, because the mean of its divisors is an integer number (91457730).

Almost surely, 2^4464064512 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 4464064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584956560).

4464064512 is an abundant number, since it is smaller than the sum of its proper divisors (8705848608).

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

4464064512 is a wasteful number, since it uses less digits than its factorization.

4464064512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5228 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4464064512 is about 66813.6551312679. The cubic root of 4464064512 is about 1646.5571938638.

The spelling of 4464064512 in words is "four billion, four hundred sixty-four million, sixty-four thousand, five hundred twelve".