4223282760 has 512 divisors, whose sum is σ = 15759360000. Its totient is φ = 1001548800.

The previous prime is 4223282729. The next prime is 4223282771. The reversal of 4223282760 is 672823224.

It is a happy number.

It is a super-2 number, since 2×4223282760² = 35672234541826435200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27968685 + ... + 27968835.

It is an arithmetic number, because the mean of its divisors is an integer number (30780000).

Almost surely, 2^4223282760 is an apocalyptic number.

4223282760 is a gapful number since it is divisible by the number (40) 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 4223282760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879680000).

4223282760 is an abundant number, since it is smaller than the sum of its proper divisors (11536077240).

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

4223282760 is a wasteful number, since it uses less digits than its factorization.

4223282760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4223282760 is about 64986.7891190202. The cubic root of 4223282760 is about 1616.4045087834.

The spelling of 4223282760 in words is "four billion, two hundred twenty-three million, two hundred eighty-two thousand, seven hundred sixty".