4226753664 has 288 divisors, whose sum is σ = 14454460800. Its totient is φ = 1205964288.

The previous prime is 4226753659. The next prime is 4226753689. The reversal of 4226753664 is 4663576224.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4226753664² = 35730893072274849792, which contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 5878297 + ... + 5879015.

It is an arithmetic number, because the mean of its divisors is an integer number (50189100).

Almost surely, 2^4226753664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4226753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227230400).

4226753664 is an abundant number, since it is smaller than the sum of its proper divisors (10227707136).

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

4226753664 is an frugal number, since it uses more digits than its factorization.

4226753664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 731 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 4226753664 is about 65013.4883235779. The cubic root of 4226753664 is about 1616.8472014257.

The spelling of 4226753664 in words is "four billion, two hundred twenty-six million, seven hundred fifty-three thousand, six hundred sixty-four".