6228166464 has 210 divisors, whose sum is σ = 19994464710. Its totient is φ = 1916089344.

The previous prime is 6228166463. The next prime is 6228166471. The reversal of 6228166464 is 4646618226.

6228166464 is a `hidden beast` number, since 6 + 2 + 28 + 166 + 464 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 237406464 + 5990760000 = 15408^2 + 77400^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6228166463) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 872542 + ... + 879650.

Almost surely, 2^6228166464 is an apocalyptic number.

6228166464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6228166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997232355).

6228166464 is an abundant number, since it is smaller than the sum of its proper divisors (13766298246).

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

6228166464 is a wasteful number, since it uses less digits than its factorization.

6228166464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7159 (or 7127 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 6228166464 is about 78918.7332893781. The cubic root of 6228166464 is about 1839.8683018531.

The spelling of 6228166464 in words is "six billion, two hundred twenty-eight million, one hundred sixty-six thousand, four hundred sixty-four".