4268082560 has 128 divisors (see below), whose sum is σ = 12347173440. Its totient is φ = 1377239040.

The previous prime is 4268082551. The next prime is 4268082593. The reversal of 4268082560 is 652808624.

4268082560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48140 + ... + 104180.

Almost surely, 2^4268082560 is an apocalyptic number.

4268082560 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 4268082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6173586720).

4268082560 is an abundant number, since it is smaller than the sum of its proper divisors (8079090880).

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

4268082560 is a wasteful number, since it uses less digits than its factorization.

4268082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56084 (or 56072 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 4268082560 is about 65330.5637508203. The cubic root of 4268082560 is about 1622.0999237535.

The spelling of 4268082560 in words is "four billion, two hundred sixty-eight million, eighty-two thousand, five hundred sixty".