6225802128 has 640 divisors, whose sum is σ = 23465164800. Its totient is φ = 1536288768.

The previous prime is 6225802123. The next prime is 6225802129. The reversal of 6225802128 is 8212085226.

6225802128 is a `hidden beast` number, since 62 + 2 + 580 + 2 + 12 + 8 = 666.

It is a super-2 number, since 2×6225802128² = 77521224274018656768, which contains 22 as substring.

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 = 6225802092 and 6225802101.

It is not an unprimeable number, because it can be changed into a prime (6225802123) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49022001 + ... + 49022127.

It is an arithmetic number, because the mean of its divisors is an integer number (36664320).

Almost surely, 2^6225802128 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 6225802128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11732582400).

6225802128 is an abundant number, since it is smaller than the sum of its proper divisors (17239362672).

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

6225802128 is a wasteful number, since it uses less digits than its factorization.

6225802128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6225802128 is about 78903.7523062116. The cubic root of 6225802128 is about 1839.6354555058.

The spelling of 6225802128 in words is "six billion, two hundred twenty-five million, eight hundred two thousand, one hundred twenty-eight".