5752560384 has 432 divisors, whose sum is σ = 18808724480. Its totient is φ = 1746800640.

The previous prime is 5752560349. The next prime is 5752560421. The reversal of 5752560384 is 4830652575.

5752560384 is a `hidden beast` number, since 5 + 7 + 5 + 2 + 560 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36640434 + ... + 36640590.

Almost surely, 2^5752560384 is an apocalyptic number.

5752560384 is a gapful number since it is divisible by the number (54) 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 5752560384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404362240).

5752560384 is an abundant number, since it is smaller than the sum of its proper divisors (13056164096).

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

5752560384 is a wasteful number, since it uses less digits than its factorization.

5752560384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5752560384 is about 75845.6352336771. The cubic root of 5752560384 is about 1791.7898084674.

The spelling of 5752560384 in words is "five billion, seven hundred fifty-two million, five hundred sixty thousand, three hundred eighty-four".