4464368832 has 336 divisors, whose sum is σ = 15135880320. Its totient is φ = 1148313600.

The previous prime is 4464368819. The next prime is 4464368849. The reversal of 4464368832 is 2388634644.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18524232 + ... + 18524472.

Almost surely, 2^4464368832 is an apocalyptic number.

4464368832 is a gapful number since it is divisible by the number (42) 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 4464368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567940160).

4464368832 is an abundant number, since it is smaller than the sum of its proper divisors (10671511488).

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

4464368832 is a wasteful number, since it uses less digits than its factorization.

4464368832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 443 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The square root of 4464368832 is about 66815.9324712302. The cubic root of 4464368832 is about 1646.5946088622.

The spelling of 4464368832 in words is "four billion, four hundred sixty-four million, three hundred sixty-eight thousand, eight hundred thirty-two".