4534584768 has 560 divisors, whose sum is σ = 16522598400. Its totient is φ = 1201858560.

The previous prime is 4534584749. The next prime is 4534584787. The reversal of 4534584768 is 8674854354.

It is a happy number.

4534584768 is a `hidden beast` number, since 4 + 53 + 4 + 584 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4534584749) and next prime (4534584787).

It is a super-2 number, since 2×4534584768² = 41124918036355227648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 32622843 + ... + 32622981.

It is an arithmetic number, because the mean of its divisors is an integer number (29504640).

Almost surely, 2^4534584768 is an apocalyptic number.

4534584768 is a gapful number since it is divisible by the number (48) 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 4534584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261299200).

4534584768 is an abundant number, since it is smaller than the sum of its proper divisors (11988013632).

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

4534584768 is a wasteful number, since it uses less digits than its factorization.

4534584768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The square root of 4534584768 is about 67339.3255683482. The cubic root of 4534584768 is about 1655.1823310526.

The spelling of 4534584768 in words is "four billion, five hundred thirty-four million, five hundred eighty-four thousand, seven hundred sixty-eight".