4263643200 has 168 divisors, whose sum is σ = 14366963392. Its totient is φ = 1106196480.

The previous prime is 4263643169. The next prime is 4263643243. The reversal of 4263643200 is 23463624.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165597 + ... + 189603.

Almost surely, 2^4263643200 is an apocalyptic number.

4263643200 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 4263643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183481696).

4263643200 is an abundant number, since it is smaller than the sum of its proper divisors (10103320192).

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

4263643200 is a wasteful number, since it uses less digits than its factorization.

4263643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24069 (or 24054 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 4263643200 is about 65296.5787771457. The cubic root of 4263643200 is about 1621.5373304775.

The spelling of 4263643200 in words is "four billion, two hundred sixty-three million, six hundred forty-three thousand, two hundred".