4235764960 has 192 divisors, whose sum is σ = 11683381248. Its totient is φ = 1421328384.

The previous prime is 4235764957. The next prime is 4235765003. The reversal of 4235764960 is 694675324.

4235764960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4235764960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13797127 + ... + 13797433.

It is an arithmetic number, because the mean of its divisors is an integer number (60850944).

Almost surely, 2^4235764960 is an apocalyptic number.

4235764960 is a gapful number since it is divisible by the number (40) 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 4235764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841690624).

4235764960 is an abundant number, since it is smaller than the sum of its proper divisors (7447616288).

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

4235764960 is a wasteful number, since it uses less digits than its factorization.

4235764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The square root of 4235764960 is about 65082.7547050676. The cubic root of 4235764960 is about 1617.9954070347.

The spelling of 4235764960 in words is "four billion, two hundred thirty-five million, seven hundred sixty-four thousand, nine hundred sixty".