6528453120 has 640 divisors, whose sum is σ = 26963988480. Its totient is φ = 1466449920.

The previous prime is 6528453109. The next prime is 6528453131. The reversal of 6528453120 is 213548256.

6528453120 is a `hidden beast` number, since 6 + 528 + 4 + 5 + 3 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (6528453109) and next prime (6528453131).

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 49835455 + ... + 49835585.

It is an arithmetic number, because the mean of its divisors is an integer number (42131232).

Almost surely, 2^6528453120 is an apocalyptic number.

6528453120 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 6528453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13481994240).

6528453120 is an abundant number, since it is smaller than the sum of its proper divisors (20435535360).

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

6528453120 is a wasteful number, since it uses less digits than its factorization.

6528453120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

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

The square root of 6528453120 is about 80798.8435560807. The cubic root of 6528453120 is about 1868.9747322860.

The spelling of 6528453120 in words is "six billion, five hundred twenty-eight million, four hundred fifty-three thousand, one hundred twenty".