4327872000 has 160 divisors (see below), whose sum is σ = 14389730784. Its totient is φ = 1154048000.

The previous prime is 4327871993. The next prime is 4327872007. The reversal of 4327872000 is 2787234.

It is an interprime number because it is at equal distance from previous prime (4327871993) and next prime (4327872007).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4327872007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 180730 + ... + 203270.

Almost surely, 2^4327872000 is an apocalyptic number.

4327872000 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 4327872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194865392).

4327872000 is an abundant number, since it is smaller than the sum of its proper divisors (10061858784).

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

4327872000 is an equidigital number, since it uses as much as digits as its factorization.

4327872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22577 (or 22551 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 4327872000 is about 65786.5639777607. The cubic root of 4327872000 is about 1629.6392241043.

The spelling of 4327872000 in words is "four billion, three hundred twenty-seven million, eight hundred seventy-two thousand".