4260765672 has 96 divisors (see below), whose sum is σ = 11939140800. Its totient is φ = 1407919968.

The previous prime is 4260765667. The next prime is 4260765701. The reversal of 4260765672 is 2765670624.

It is a super-3 number, since 3×4260765672³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3483253 + ... + 3484475.

It is an arithmetic number, because the mean of its divisors is an integer number (124366050).

Almost surely, 2^4260765672 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 4260765672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969570400).

4260765672 is an abundant number, since it is smaller than the sum of its proper divisors (7678375128).

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

4260765672 is a wasteful number, since it uses less digits than its factorization.

4260765672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 4260765672 is about 65274.5407643746. The cubic root of 4260765672 is about 1621.1724571409.

The spelling of 4260765672 in words is "four billion, two hundred sixty million, seven hundred sixty-five thousand, six hundred seventy-two".