4220968752 has 640 divisors, whose sum is σ = 16718929920. Its totient is φ = 984130560.

The previous prime is 4220968751. The next prime is 4220968781. The reversal of 4220968752 is 2578690224.

It is a junction number, because it is equal to n+sod(n) for n = 4220968698 and 4220968707.

It is not an unprimeable number, because it can be changed into a prime (4220968751) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18594463 + ... + 18594689.

It is an arithmetic number, because the mean of its divisors is an integer number (26123328).

Almost surely, 2^4220968752 is an apocalyptic number.

4220968752 is a gapful number since it is divisible by the number (42) 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 4220968752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8359464960).

4220968752 is an abundant number, since it is smaller than the sum of its proper divisors (12497961168).

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

4220968752 is a wasteful number, since it uses less digits than its factorization.

4220968752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4220968752 is about 64968.9829995822. The cubic root of 4220968752 is about 1616.1092363991.

The spelling of 4220968752 in words is "four billion, two hundred twenty million, nine hundred sixty-eight thousand, seven hundred fifty-two".