4255843680 has 672 divisors, whose sum is σ = 17134322688. Its totient is φ = 989107200.

The previous prime is 4255843679. The next prime is 4255843727. The reversal of 4255843680 is 863485524.

4255843680 is a `hidden beast` number, since 4 + 2 + 5 + 584 + 3 + 68 + 0 = 666.

4255843680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4255843680² = 36224410857191884800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 39774187 + ... + 39774293.

It is an arithmetic number, because the mean of its divisors is an integer number (25497504).

Almost surely, 2^4255843680 is an apocalyptic number.

4255843680 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 4255843680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8567161344).

4255843680 is an abundant number, since it is smaller than the sum of its proper divisors (12878479008).

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

4255843680 is a wasteful number, since it uses less digits than its factorization.

4255843680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 4255843680 is about 65236.8276359297. The cubic root of 4255843680 is about 1620.5479627796.

The spelling of 4255843680 in words is "four billion, two hundred fifty-five million, eight hundred forty-three thousand, six hundred eighty".