6445528830 has 192 divisors, whose sum is σ = 18824053248. Its totient is φ = 1577439360.

The previous prime is 6445528819. The next prime is 6445528849. The reversal of 6445528830 is 388255446.

6445528830 is a `hidden beast` number, since 6 + 4 + 45 + 528 + 83 + 0 = 666.

It is a super-3 number, since 3×6445528830³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6665007 + ... + 6665973.

It is an arithmetic number, because the mean of its divisors is an integer number (98041944).

Almost surely, 2^6445528830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6445528830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9412026624).

6445528830 is an abundant number, since it is smaller than the sum of its proper divisors (12378524418).

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

6445528830 is a wasteful number, since it uses less digits than its factorization.

6445528830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 6445528830 is about 80284.0509067648. The cubic root of 6445528830 is about 1861.0277618599.

The spelling of 6445528830 in words is "six billion, four hundred forty-five million, five hundred twenty-eight thousand, eight hundred thirty".