6525832320 has 768 divisors, whose sum is σ = 27862548480. Its totient is φ = 1374658560.

The previous prime is 6525832319. The next prime is 6525832333. The reversal of 6525832320 is 232385256.

6525832320 is a `hidden beast` number, since 6 + 52 + 583 + 2 + 3 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 28748047 + ... + 28748273.

It is an arithmetic number, because the mean of its divisors is an integer number (36279360).

Almost surely, 2^6525832320 is an apocalyptic number.

6525832320 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 6525832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13931274240).

6525832320 is an abundant number, since it is smaller than the sum of its proper divisors (21336716160).

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

6525832320 is a wasteful number, since it uses less digits than its factorization.

6525832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6525832320 is about 80782.6238741971. The cubic root of 6525832320 is about 1868.7246033767.

The spelling of 6525832320 in words is "six billion, five hundred twenty-five million, eight hundred thirty-two thousand, three hundred twenty".