4268688076800 has 1872 divisors, whose sum is σ = 18514497362400. Its totient is φ = 973191905280.

The previous prime is 4268688076789. The next prime is 4268688076901. The reversal of 4268688076800 is 86708868624.

4268688076800 is a `hidden beast` number, since 426 + 8 + 68 + 8 + 0 + 76 + 80 + 0 = 666.

It is a super-3 number, since 3×4268688076800³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 10973491006 + ... + 10973491394.

It is an arithmetic number, because the mean of its divisors is an integer number (9890222950).

Almost surely, 2^{4268688076800} is an apocalyptic number.

4268688076800 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 4268688076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9257248681200).

4268688076800 is an abundant number, since it is smaller than the sum of its proper divisors (14245809285600).

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

4268688076800 is an frugal number, since it uses more digits than its factorization.

4268688076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 4268688076800 in words is "four trillion, two hundred sixty-eight billion, six hundred eighty-eight million, seventy-six thousand, eight hundred".