4327668000 has 720 divisors, whose sum is σ = 17217063864. Its totient is φ = 1063756800.

The previous prime is 4327667969. The next prime is 4327668001. The reversal of 4327668000 is 8667234.

It can be written as a sum of positive squares in 4 ways, for example, as 2227462416 + 2100205584 = 47196^2 + 45828^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4327668001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 116963982 + ... + 116964018.

Almost surely, 2^4327668000 is an apocalyptic number.

4327668000 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 4327668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8608531932).

4327668000 is an abundant number, since it is smaller than the sum of its proper divisors (12889395864).

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

4327668000 is a wasteful number, since it uses less digits than its factorization.

4327668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4327668000 is about 65785.0134909160. The cubic root of 4327668000 is about 1629.6136186316.

The spelling of 4327668000 in words is "four billion, three hundred twenty-seven million, six hundred sixty-eight thousand".