6564674160 has 400 divisors, whose sum is σ = 25041075840. Its totient is φ = 1587237120.

The previous prime is 6564674159. The next prime is 6564674167. The reversal of 6564674160 is 614764656.

6564674160 is a `hidden beast` number, since 6 + 564 + 6 + 74 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6564674167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17320851 + ... + 17321229.

Almost surely, 2^6564674160 is an apocalyptic number.

6564674160 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 6564674160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12520537920).

6564674160 is an abundant number, since it is smaller than the sum of its proper divisors (18476401680).

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

6564674160 is an equidigital number, since it uses as much as digits as its factorization.

6564674160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 6564674160 is about 81022.6768256887. The cubic root of 6564674160 is about 1872.4248296178.

The spelling of 6564674160 in words is "six billion, five hundred sixty-four million, six hundred seventy-four thousand, one hundred sixty".