4260296736 has 360 divisors, whose sum is σ = 13766680620. Its totient is φ = 1290691584.

The previous prime is 4260296701. The next prime is 4260296749. The reversal of 4260296736 is 6376920624.

4260296736 is a `hidden beast` number, since 4 + 2 + 602 + 9 + 6 + 7 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4222400400 + 37896336 = 64980^2 + 6156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4260296691 and 4260296700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27135570 + ... + 27135726.

Almost surely, 2^4260296736 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 4260296736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883340310).

4260296736 is an abundant number, since it is smaller than the sum of its proper divisors (9506383884).

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

4260296736 is a wasteful number, since it uses less digits than its factorization.

4260296736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 4260296736 is about 65270.9486372000. The cubic root of 4260296736 is about 1621.1129800361.

The spelling of 4260296736 in words is "four billion, two hundred sixty million, two hundred ninety-six thousand, seven hundred thirty-six".