4223767680 has 448 divisors, whose sum is σ = 16535603520. Its totient is φ = 1022699520.

The previous prime is 4223767649. The next prime is 4223767693. The reversal of 4223767680 is 867673224.

It is a super-2 number, since 2×4223767680² = 35680426829225164800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5131749 + ... + 5132571.

Almost surely, 2^4223767680 is an apocalyptic number.

4223767680 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 4223767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267801760).

4223767680 is an abundant number, since it is smaller than the sum of its proper divisors (12311835840).

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

4223767680 is an equidigital number, since it uses as much as digits as its factorization.

4223767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4223767680 is about 64990.5199240628. The cubic root of 4223767680 is about 1616.4663719454.

It can be divided in two parts, 4223 and 767680, that added together give a triangular number (771903 = T₁₂₄₂).

The spelling of 4223767680 in words is "four billion, two hundred twenty-three million, seven hundred sixty-seven thousand, six hundred eighty".