4268763585 has 40 divisors (see below), whose sum is σ = 7838822376. Its totient is φ = 2221136640.

The previous prime is 4268763571. The next prime is 4268763599. The reversal of 4268763585 is 5853678624.

4268763585 is a `hidden beast` number, since 426 + 87 + 63 + 5 + 85 = 666.

4268763585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4268763571) and next prime (4268763599).

It can be written as a sum of positive squares in 4 ways, for example, as 115089984 + 4153673601 = 10728^2 + 64449^2 .

It is not a de Polignac number, because 4268763585 - 2⁹ = 4268763073 is a prime.

It is a super-3 number, since 3×4268763585³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 111934 + ... + 145143.

Almost surely, 2^4268763585 is an apocalyptic number.

4268763585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4268763585 is a deficient number, since it is larger than the sum of its proper divisors (3570058791).

4268763585 is a wasteful number, since it uses less digits than its factorization.

4268763585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257135 (or 257126 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 4268763585 is about 65335.7756898929. The cubic root of 4268763585 is about 1622.1861944879.

The spelling of 4268763585 in words is "four billion, two hundred sixty-eight million, seven hundred sixty-three thousand, five hundred eighty-five".