6564285000 has 720 divisors, whose sum is σ = 27952224300. Its totient is φ = 1378944000.

The previous prime is 6564284971. The next prime is 6564285017. The reversal of 6564285000 is 5824656.

6564285000 is a `hidden beast` number, since 6 + 5 + 642 + 8 + 5 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 309689604 + 6254595396 = 17598^2 + 79086^2 .

It is a super-2 number, since 2×6564285000² = 86179675122450000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 28664886 + ... + 28665114.

Almost surely, 2^6564285000 is an apocalyptic number.

6564285000 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 6564285000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976112150).

6564285000 is an abundant number, since it is smaller than the sum of its proper divisors (21387939300).

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

6564285000 is a wasteful number, since it uses less digits than its factorization.

6564285000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 6564285000 is about 81020.2752402138. The cubic root of 6564285000 is about 1872.3878291906.

The spelling of 6564285000 in words is "six billion, five hundred sixty-four million, two hundred eighty-five thousand".