4564832832 has 336 divisors, whose sum is σ = 15722803200. Its totient is φ = 1238768640.

The previous prime is 4564832827. The next prime is 4564832849. The reversal of 4564832832 is 2382384654.

4564832832 is a `hidden beast` number, since 4 + 564 + 8 + 3 + 2 + 83 + 2 = 666.

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

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, 7374219 + ... + 7374837.

Almost surely, 2^4564832832 is an apocalyptic number.

4564832832 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 4564832832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861401600).

4564832832 is an abundant number, since it is smaller than the sum of its proper divisors (11157970368).

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

4564832832 is a wasteful number, since it uses less digits than its factorization.

4564832832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 721 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 4564832832 is about 67563.5466209405. The cubic root of 4564832832 is about 1658.8544901029.

The spelling of 4564832832 in words is "four billion, five hundred sixty-four million, eight hundred thirty-two thousand, eight hundred thirty-two".