4260752570624 has 144 divisors (see below), whose sum is σ = 9775228706880. Its totient is φ = 1833105530880.

The previous prime is 4260752570479. The next prime is 4260752570629.

4260752570624 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4260752570629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59728322 + ... + 59799614.

Almost surely, 2^{4260752570624} is an apocalyptic number.

4260752570624 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 4260752570624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887614353440).

4260752570624 is an abundant number, since it is smaller than the sum of its proper divisors (5514476136256).

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

4260752570624 is a wasteful number, since it uses less digits than its factorization.

4260752570624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72456 (or 72442 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 50.

The spelling of 4260752570624 in words is "four trillion, two hundred sixty billion, seven hundred fifty-two million, five hundred seventy thousand, six hundred twenty-four".