4264727693328 has 120 divisors (see below), whose sum is σ = 12365122699800. Its totient is φ = 1370527721472.

The previous prime is 4264727693269. The next prime is 4264727693381. The reversal of 4264727693328 is 8233967274624.

4264727693328 is a `hidden beast` number, since 4 + 2 + 6 + 472 + 76 + 93 + 3 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 753646224384 + 3511081468944 = 868128^2 + 1873788^2 .

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 23 ways as a sum of consecutive naturals, for example, 2072908 + ... + 3581396.

It is an arithmetic number, because the mean of its divisors is an integer number (103042689165).

Almost surely, 2^{4264727693328} is an apocalyptic number.

4264727693328 is a gapful number since it is divisible by the number (48) 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 4264727693328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182561349900).

4264727693328 is an abundant number, since it is smaller than the sum of its proper divisors (8100395006472).

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

4264727693328 is a wasteful number, since it uses less digits than its factorization.

4264727693328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509209 (or 1509200 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 4264727693328 in words is "four trillion, two hundred sixty-four billion, seven hundred twenty-seven million, six hundred ninety-three thousand, three hundred twenty-eight".