4234687642368 has 864 divisors, whose sum is σ = 13370860339200. Its totient is φ = 1285512560640.

The previous prime is 4234687642349. The next prime is 4234687642379. The reversal of 4234687642368 is 8632467864324.

4234687642368 is a `hidden beast` number, since 4 + 2 + 3 + 468 + 76 + 42 + 3 + 68 = 666.

Its product of digits (222953472) is a multiple of the sum of its prime divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28420722358 + ... + 28420722506.

It is an arithmetic number, because the mean of its divisors is an integer number (15475532800).

Almost surely, 2^{4234687642368} is an apocalyptic number.

4234687642368 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 4234687642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6685430169600).

4234687642368 is an abundant number, since it is smaller than the sum of its proper divisors (9136172696832).

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

4234687642368 is a wasteful number, since it uses less digits than its factorization.

4234687642368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its digits is 222953472, while the sum is 63.

The spelling of 4234687642368 in words is "four trillion, two hundred thirty-four billion, six hundred eighty-seven million, six hundred forty-two thousand, three hundred sixty-eight".