4234758727680 has 384 divisors, whose sum is σ = 16211199513600. Its totient is φ = 1042401263616.

The previous prime is 4234758727649. The next prime is 4234758727711. The reversal of 4234758727680 is 867278574324.

4234758727680 is a `hidden beast` number, since 4 + 2 + 3 + 47 + 587 + 2 + 7 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4234758727649) and next prime (4234758727711).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3005137 + ... + 4183343.

It is an arithmetic number, because the mean of its divisors is an integer number (42216665400).

Almost surely, 2^{4234758727680} is an apocalyptic number.

4234758727680 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 4234758727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105599756800).

4234758727680 is an abundant number, since it is smaller than the sum of its proper divisors (11976440785920).

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

4234758727680 is a wasteful number, since it uses less digits than its factorization.

4234758727680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178256 (or 1178230 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 63.

The spelling of 4234758727680 in words is "four trillion, two hundred thirty-four billion, seven hundred fifty-eight million, seven hundred twenty-seven thousand, six hundred eighty".