5760163584 has 576 divisors, whose sum is σ = 21192192000. Its totient is φ = 1505820672.

The previous prime is 5760163583. The next prime is 5760163627. The reversal of 5760163584 is 4853610675.

5760163584 is a `hidden beast` number, since 5 + 7 + 6 + 0 + 1 + 63 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760163583) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38658742 + ... + 38658890.

It is an arithmetic number, because the mean of its divisors is an integer number (36792000).

Almost surely, 2^5760163584 is an apocalyptic number.

5760163584 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 5760163584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596096000).

5760163584 is an abundant number, since it is smaller than the sum of its proper divisors (15432028416).

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

5760163584 is a wasteful number, since it uses less digits than its factorization.

5760163584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5760163584 is about 75895.7415406161. The cubic root of 5760163584 is about 1792.5788680482.

The spelling of 5760163584 in words is "five billion, seven hundred sixty million, one hundred sixty-three thousand, five hundred eighty-four".