5785652304 has 120 divisors (see below), whose sum is σ = 17071273440. Its totient is φ = 1824125184.

The previous prime is 5785652293. The next prime is 5785652309. The reversal of 5785652304 is 4032565875.

5785652304 is a `hidden beast` number, since 5 + 78 + 56 + 523 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5785652304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5785652309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2261394 + ... + 2263950.

It is an arithmetic number, because the mean of its divisors is an integer number (142260612).

Almost surely, 2^5785652304 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 5785652304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535636720).

5785652304 is an abundant number, since it is smaller than the sum of its proper divisors (11285621136).

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

5785652304 is a wasteful number, since it uses less digits than its factorization.

5785652304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417 (or 3408 counting only the distinct ones).

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

The square root of 5785652304 is about 76063.4754925122. The cubic root of 5785652304 is about 1795.2190310593.

The spelling of 5785652304 in words is "five billion, seven hundred eighty-five million, six hundred fifty-two thousand, three hundred four".