4864329984 has 144 divisors (see below), whose sum is σ = 13634232192. Its totient is φ = 1536589824.

The previous prime is 4864329937. The next prime is 4864330027. The reversal of 4864329984 is 4899234684.

Its product of digits (11943936) is a multiple of the sum of its prime factors (2592).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1994814 + ... + 1997250.

It is an arithmetic number, because the mean of its divisors is an integer number (94682168).

Almost surely, 2^4864329984 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 4864329984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6817116096).

4864329984 is an abundant number, since it is smaller than the sum of its proper divisors (8769902208).

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

4864329984 is a wasteful number, since it uses less digits than its factorization.

4864329984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2578 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The square root of 4864329984 is about 69744.7487915757. The cubic root of 4864329984 is about 1694.3677484608.

The spelling of 4864329984 in words is "four billion, eight hundred sixty-four million, three hundred twenty-nine thousand, nine hundred eighty-four".