4329008640 has 960 divisors, whose sum is σ = 18384537600. Its totient is φ = 928972800.

The previous prime is 4329008597. The next prime is 4329008653. The reversal of 4329008640 is 468009234.

It is a happy number.

4329008640 is a `hidden beast` number, since 4 + 3 + 2 + 9 + 0 + 0 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a junction number, because it is equal to n+sod(n) for n = 4329008595 and 4329008604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139645425 + ... + 139645455.

It is an arithmetic number, because the mean of its divisors is an integer number (19150560).

Almost surely, 2^4329008640 is an apocalyptic number.

4329008640 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 4329008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192268800).

4329008640 is an abundant number, since it is smaller than the sum of its proper divisors (14055528960).

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

4329008640 is a wasteful number, since it uses less digits than its factorization.

4329008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4329008640 is about 65795.2022566995. The cubic root of 4329008640 is about 1629.7818770441.

The spelling of 4329008640 in words is "four billion, three hundred twenty-nine million, eight thousand, six hundred forty".