4329607464 has 480 divisors, whose sum is σ = 16111667880. Its totient is φ = 1072963584.

The previous prime is 4329607459. The next prime is 4329607493. The reversal of 4329607464 is 4647069234.

It is a happy number.

4329607464 is a `hidden beast` number, since 4 + 32 + 9 + 607 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2328834564 + 2000772900 = 48258^2 + 44730^2 .

It is a super-2 number, since 2×4329607464² = 37491001584649022592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7016884 + ... + 7017500.

Almost surely, 2^4329607464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4329607464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055833940).

4329607464 is an abundant number, since it is smaller than the sum of its proper divisors (11782060416).

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

4329607464 is a wasteful number, since it uses less digits than its factorization.

4329607464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 4329607464 is about 65799.7527654930. The cubic root of 4329607464 is about 1629.8570218472.

The spelling of 4329607464 in words is "four billion, three hundred twenty-nine million, six hundred seven thousand, four hundred sixty-four".