4225668480 has 768 divisors, whose sum is σ = 17190835200. Its totient is φ = 979292160.

The previous prime is 4225668463. The next prime is 4225668481. The reversal of 4225668480 is 848665224.

4225668480 is a `hidden beast` number, since 4 + 2 + 2 + 566 + 8 + 4 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4225668481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89907817 + ... + 89907863.

It is an arithmetic number, because the mean of its divisors is an integer number (22383900).

Almost surely, 2^4225668480 is an apocalyptic number.

4225668480 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 4225668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595417600).

4225668480 is an abundant number, since it is smaller than the sum of its proper divisors (12965166720).

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

4225668480 is a wasteful number, since it uses less digits than its factorization.

4225668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 4225668480 is about 65005.1419504642. The cubic root of 4225668480 is about 1616.7088188724.

The spelling of 4225668480 in words is "four billion, two hundred twenty-five million, six hundred sixty-eight thousand, four hundred eighty".