6501875328 has 192 divisors, whose sum is σ = 20302518600. Its totient is φ = 1985347584.

The previous prime is 6501875323. The next prime is 6501875377. The reversal of 6501875328 is 8235781056.

It can be written as a sum of positive squares in 4 ways, for example, as 5668282944 + 833592384 = 75288^2 + 28872^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (6501875321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2050128 + ... + 2053296.

Almost surely, 2^6501875328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6501875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10151259300).

6501875328 is an abundant number, since it is smaller than the sum of its proper divisors (13800643272).

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

6501875328 is a wasteful number, since it uses less digits than its factorization.

6501875328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 6501875328 is about 80634.2069347743. The cubic root of 6501875328 is about 1866.4350401939.

The spelling of 6501875328 in words is "six billion, five hundred one million, eight hundred seventy-five thousand, three hundred twenty-eight".