4752324864 has 144 divisors (see below), whose sum is σ = 16061261440. Its totient is φ = 1357793280.

The previous prime is 4752324851. The next prime is 4752324919. The reversal of 4752324864 is 4684232574.

It is a happy number.

4752324864 is a `hidden beast` number, since 47 + 523 + 2 + 4 + 86 + 4 = 666.

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

It is a super-2 number, since 2×4752324864² = 45169183225985236992, which contains 22 as substring.

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, 727 + ... + 97494.

Almost surely, 2^4752324864 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 4752324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030630720).

4752324864 is an abundant number, since it is smaller than the sum of its proper divisors (11308936576).

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

4752324864 is an equidigital number, since it uses as much as digits as its factorization.

4752324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98253 (or 98233 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 4752324864 is about 68937.1080333372. The cubic root of 4752324864 is about 1681.2619090398.

The spelling of 4752324864 in words is "four billion, seven hundred fifty-two million, three hundred twenty-four thousand, eight hundred sixty-four".