5786705664 has 288 divisors, whose sum is σ = 18199776000. Its totient is φ = 1808510976.

The previous prime is 5786705651. The next prime is 5786705711. The reversal of 5786705664 is 4665076875.

5786705664 is a `hidden beast` number, since 5 + 7 + 8 + 6 + 70 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5786705664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18254434 + ... + 18254750.

Almost surely, 2^5786705664 is an apocalyptic number.

5786705664 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 5786705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099888000).

5786705664 is an abundant number, since it is smaller than the sum of its proper divisors (12413070336).

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

5786705664 is a wasteful number, since it uses less digits than its factorization.

5786705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The square root of 5786705664 is about 76070.3993942453. The cubic root of 5786705664 is about 1795.3279728040.

The spelling of 5786705664 in words is "five billion, seven hundred eighty-six million, seven hundred five thousand, six hundred sixty-four".