5785764864 has 176 divisors, whose sum is σ = 16964487936. Its totient is φ = 1738547200.

The previous prime is 5785764863. The next prime is 5785764871. The reversal of 5785764864 is 4684675875.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×5785764864² = 66950150122993876992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5785764798 and 5785764807.

It is not an unprimeable number, because it can be changed into a prime (5785764863) 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 15 ways as a sum of consecutive naturals, for example, 4426099 + ... + 4427405.

It is an arithmetic number, because the mean of its divisors is an integer number (96389136).

Almost surely, 2^5785764864 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 5785764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482243968).

5785764864 is an abundant number, since it is smaller than the sum of its proper divisors (11178723072).

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

5785764864 is a wasteful number, since it uses less digits than its factorization.

5785764864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1454 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The square root of 5785764864 is about 76064.2153972550. The cubic root of 5785764864 is about 1795.2306729931.

The spelling of 5785764864 in words is "five billion, seven hundred eighty-five million, seven hundred sixty-four thousand, eight hundred sixty-four".