4263321600 has 420 divisors, whose sum is σ = 15854779314. Its totient is φ = 1132462080.

The previous prime is 4263321599. The next prime is 4263321611. The reversal of 4263321600 is 61233624.

4263321600 is a `hidden beast` number, since 4 + 2 + 6 + 33 + 21 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4087812096 + 175509504 = 63936^2 + 13248^2 .

It is a super-2 number, since 2×4263321600² = 36351822130053120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588672 + ... + 16588928.

Almost surely, 2^4263321600 is an apocalyptic number.

4263321600 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 4263321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927389657).

4263321600 is an abundant number, since it is smaller than the sum of its proper divisors (11591457714).

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

4263321600 is an equidigital number, since it uses as much as digits as its factorization.

4263321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4263321600 is about 65294.1161208267. The cubic root of 4263321600 is about 1621.4965594363.

The spelling of 4263321600 in words is "four billion, two hundred sixty-three million, three hundred twenty-one thousand, six hundred".