4260330624 has 96 divisors (see below), whose sum is σ = 12438936720. Its totient is φ = 1290995200.

The previous prime is 4260330619. The next prime is 4260330629.

It is a happy number.

4260330624 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4260330619) and next prime (4260330629).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 4260330591 and 4260330600.

It is not an unprimeable number, because it can be changed into a prime (4260330629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619 + ... + 92309.

Almost surely, 2^4260330624 is an apocalyptic number.

4260330624 is a gapful number since it is divisible by the number (44) 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 4260330624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219468360).

4260330624 is an abundant number, since it is smaller than the sum of its proper divisors (8178606096).

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

4260330624 is a wasteful number, since it uses less digits than its factorization.

4260330624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91730 (or 91707 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 4260330624 is about 65271.2082315013. The cubic root of 4260330624 is about 1621.1172783385.

The spelling of 4260330624 in words is "four billion, two hundred sixty million, three hundred thirty thousand, six hundred twenty-four".