6534328320 has 624 divisors, whose sum is σ = 25545697632. Its totient is φ = 1592524800.

The previous prime is 6534328259. The next prime is 6534328351. The reversal of 6534328320 is 238234356.

It is a happy number.

6534328320 is a `hidden beast` number, since 6 + 5 + 3 + 4 + 328 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64696270 + ... + 64696370.

It is an arithmetic number, because the mean of its divisors is an integer number (40938618).

Almost surely, 2^6534328320 is an apocalyptic number.

6534328320 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 6534328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12772848816).

6534328320 is an abundant number, since it is smaller than the sum of its proper divisors (19011369312).

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

6534328320 is a wasteful number, since it uses less digits than its factorization.

6534328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6534328320 is about 80835.1923360117. The cubic root of 6534328320 is about 1869.5352176893.

The spelling of 6534328320 in words is "six billion, five hundred thirty-four million, three hundred twenty-eight thousand, three hundred twenty".