4260975264 has 576 divisors, whose sum is σ = 16144128000. Its totient is φ = 1034643456.

The previous prime is 4260975211. The next prime is 4260975289. The reversal of 4260975264 is 4625790624.

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, 21411837 + ... + 21412035.

It is an arithmetic number, because the mean of its divisors is an integer number (28028000).

Almost surely, 2^4260975264 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 4260975264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072064000).

4260975264 is an abundant number, since it is smaller than the sum of its proper divisors (11883152736).

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

4260975264 is a wasteful number, since it uses less digits than its factorization.

4260975264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4260975264 is about 65276.1462097756. The cubic root of 4260975264 is about 1621.1990391555.

The spelling of 4260975264 in words is "four billion, two hundred sixty million, nine hundred seventy-five thousand, two hundred sixty-four".