5906564664 has 576 divisors, whose sum is σ = 21192837120. Its totient is φ = 1357171200.

The previous prime is 5906564603. The next prime is 5906564689. The reversal of 5906564664 is 4664656095.

It is a super-2 number, since 2×5906564664² = 69775012260026865792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57345237 + ... + 57345339.

It is an arithmetic number, because the mean of its divisors is an integer number (36793120).

Almost surely, 2^5906564664 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 5906564664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10596418560).

5906564664 is an abundant number, since it is smaller than the sum of its proper divisors (15286272456).

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

5906564664 is a wasteful number, since it uses less digits than its factorization.

5906564664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The square root of 5906564664 is about 76854.1779215678. The cubic root of 5906564664 is about 1807.6387985140.

The spelling of 5906564664 in words is "five billion, nine hundred six million, five hundred sixty-four thousand, six hundred sixty-four".