5906541564 has 144 divisors (see below), whose sum is σ = 18689239296. Its totient is φ = 1528012800.

The previous prime is 5906541541. The next prime is 5906541623. The reversal of 5906541564 is 4651456095.

5906541564 is a `hidden beast` number, since 59 + 0 + 6 + 541 + 56 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708259 + ... + 716549.

It is an arithmetic number, because the mean of its divisors is an integer number (129786384).

Almost surely, 2^5906541564 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 5906541564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9344619648).

5906541564 is an abundant number, since it is smaller than the sum of its proper divisors (12782697732).

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

5906541564 is a wasteful number, since it uses less digits than its factorization.

5906541564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8576 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5906541564 is about 76854.0276368129. The cubic root of 5906541564 is about 1807.6364420111.

The spelling of 5906541564 in words is "five billion, nine hundred six million, five hundred forty-one thousand, five hundred sixty-four".