4640053824 has 252 divisors, whose sum is σ = 16007600700. Its totient is φ = 1279789056.

The previous prime is 4640053801. The next prime is 4640053837. The reversal of 4640053824 is 4283500464.

4640053824 is a `hidden beast` number, since 4 + 640 + 0 + 5 + 3 + 8 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1749916224 + 2890137600 = 41832^2 + 53760^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 815662 + ... + 821330.

It is an arithmetic number, because the mean of its divisors is an integer number (63522225).

Almost surely, 2^4640053824 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 4640053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8003800350).

4640053824 is an abundant number, since it is smaller than the sum of its proper divisors (11367546876).

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

4640053824 is a wasteful number, since it uses less digits than its factorization.

4640053824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4640053824 is about 68117.9405443236. The cubic root of 4640053824 is about 1667.9166323083.

The spelling of 4640053824 in words is "four billion, six hundred forty million, fifty-three thousand, eight hundred twenty-four".