6450510528 has 504 divisors, whose sum is σ = 23850478080. Its totient is φ = 1647959040.

The previous prime is 6450510523. The next prime is 6450510529. The reversal of 6450510528 is 8250150546.

6450510528 is a `hidden beast` number, since 645 + 0 + 5 + 1 + 0 + 5 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 6450510492 and 6450510501.

It is not an unprimeable number, because it can be changed into a prime (6450510523) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24526525 + ... + 24526787.

Almost surely, 2^6450510528 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 6450510528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11925239040).

6450510528 is an abundant number, since it is smaller than the sum of its proper divisors (17399967552).

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

6450510528 is a wasteful number, since it uses less digits than its factorization.

6450510528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 6450510528 is about 80315.0703666504. The cubic root of 6450510528 is about 1861.5070962447.

The spelling of 6450510528 in words is "six billion, four hundred fifty million, five hundred ten thousand, five hundred twenty-eight".