6564579840 has 960 divisors, whose sum is σ = 29170132992. Its totient is φ = 1327104000.

The previous prime is 6564579839. The next prime is 6564579877. The reversal of 6564579840 is 489754656.

6564579840 is a `hidden beast` number, since 6 + 5 + 64 + 579 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64995790 + ... + 64995890.

Almost surely, 2^6564579840 is an apocalyptic number.

6564579840 is a gapful number since it is divisible by the number (60) 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 6564579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14585066496).

6564579840 is an abundant number, since it is smaller than the sum of its proper divisors (22605553152).

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

6564579840 is a wasteful number, since it uses less digits than its factorization.

6564579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 6564579840 is about 81022.0947643296. The cubic root of 6564579840 is about 1872.4158620260.

The spelling of 6564579840 in words is "six billion, five hundred sixty-four million, five hundred seventy-nine thousand, eight hundred forty".