6228133632 has 576 divisors, whose sum is σ = 22369536000. Its totient is φ = 1706987520.

The previous prime is 6228133621. The next prime is 6228133661. The reversal of 6228133632 is 2363318226.

It is a happy number.

6228133632 is a `hidden beast` number, since 6 + 2 + 2 + 8 + 13 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6228133632² = 77579297076099022848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87720157 + ... + 87720227.

It is an arithmetic number, because the mean of its divisors is an integer number (38836000).

Almost surely, 2^6228133632 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 6228133632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184768000).

6228133632 is an abundant number, since it is smaller than the sum of its proper divisors (16141402368).

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

6228133632 is an equidigital number, since it uses as much as digits as its factorization.

6228133632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 6228133632 is about 78918.5252776558. The cubic root of 6228133632 is about 1839.8650688704.

The spelling of 6228133632 in words is "six billion, two hundred twenty-eight million, one hundred thirty-three thousand, six hundred thirty-two".