4268627776 has 56 divisors (see below), whose sum is σ = 10101559680. Its totient is φ = 1749868032.

The previous prime is 4268627747. The next prime is 4268627789. The reversal of 4268627776 is 6777268624.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×4268627776³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196831 + ... + 217438.

Almost surely, 2^4268627776 is an apocalyptic number.

4268627776 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4268627776 is an abundant number, since it is smaller than the sum of its proper divisors (5832931904).

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

4268627776 is a wasteful number, since it uses less digits than its factorization.

4268627776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414311 (or 414301 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 55.

The square root of 4268627776 is about 65334.7363658873. The cubic root of 4268627776 is about 1622.1689912379.

The spelling of 4268627776 in words is "four billion, two hundred sixty-eight million, six hundred twenty-seven thousand, seven hundred seventy-six".