4864914432 has 616 divisors, whose sum is σ = 17898968000. Its totient is φ = 1316818944.

The previous prime is 4864914389. The next prime is 4864914499. The reversal of 4864914432 is 2344194684.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 256048119 + ... + 256048137.

Almost surely, 2^4864914432 is an apocalyptic number.

4864914432 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 4864914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8949484000).

4864914432 is an abundant number, since it is smaller than the sum of its proper divisors (13034053568).

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

4864914432 is an frugal number, since it uses more digits than its factorization.

4864914432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 31 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4864914432 is about 69748.9385725690. The cubic root of 4864914432 is about 1694.4356050267.

The spelling of 4864914432 in words is "four billion, eight hundred sixty-four million, nine hundred fourteen thousand, four hundred thirty-two".