6528620160 has 384 divisors, whose sum is σ = 24283780560. Its totient is φ = 1610219520.

The previous prime is 6528620159. The next prime is 6528620167. The reversal of 6528620160 is 610268256.

6528620160 is a `hidden beast` number, since 6 + 5 + 28 + 620 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3956913216 + 2571706944 = 62904^2 + 50712^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (6528620167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5972574 + ... + 5973666.

Almost surely, 2^6528620160 is an apocalyptic number.

6528620160 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 6528620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12141890280).

6528620160 is an abundant number, since it is smaller than the sum of its proper divisors (17755160400).

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

6528620160 is a wasteful number, since it uses less digits than its factorization.

6528620160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6528620160 is about 80799.8772276295. The cubic root of 6528620160 is about 1868.9906722986.

The spelling of 6528620160 in words is "six billion, five hundred twenty-eight million, six hundred twenty thousand, one hundred sixty".