4327948800 has 480 divisors, whose sum is σ = 18165206400. Its totient is φ = 988692480.

The previous prime is 4327948789. The next prime is 4327948831. The reversal of 4327948800 is 88497234.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4327948800² = 37462281630842880000, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2418306 + ... + 2420094.

It is an arithmetic number, because the mean of its divisors is an integer number (37844180).

Almost surely, 2^4327948800 is an apocalyptic number.

4327948800 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 4327948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9082603200).

4327948800 is an abundant number, since it is smaller than the sum of its proper divisors (13837257600).

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

4327948800 is a wasteful number, since it uses less digits than its factorization.

4327948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4327948800 is about 65787.1476809871. The cubic root of 4327948800 is about 1629.6488636032.

The spelling of 4327948800 in words is "four billion, three hundred twenty-seven million, nine hundred forty-eight thousand, eight hundred".