4226664960 has 480 divisors, whose sum is σ = 17005697280. Its totient is φ = 950206464.

The previous prime is 4226664941. The next prime is 4226664991. The reversal of 4226664960 is 694666224.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 11773261 + ... + 11773619.

It is an arithmetic number, because the mean of its divisors is an integer number (35428536).

Almost surely, 2^4226664960 is an apocalyptic number.

4226664960 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 4226664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502848640).

4226664960 is an abundant number, since it is smaller than the sum of its proper divisors (12779032320).

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

4226664960 is a wasteful number, since it uses less digits than its factorization.

4226664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 4226664960 is about 65012.8061231016. The cubic root of 4226664960 is about 1616.8358907896.

The spelling of 4226664960 in words is "four billion, two hundred twenty-six million, six hundred sixty-four thousand, nine hundred sixty".