4220851680 has 168 divisors, whose sum is σ = 14951216952. Its totient is φ = 1125529344.

The previous prime is 4220851669. The next prime is 4220851709. The reversal of 4220851680 is 861580224.

4220851680 is a `hidden beast` number, since 42 + 20 + 8 + 516 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 27 ways as a sum of consecutive naturals, for example, 98547 + ... + 134733.

It is an arithmetic number, because the mean of its divisors is an integer number (88995339).

Almost surely, 2^4220851680 is an apocalyptic number.

4220851680 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 4220851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7475608476).

4220851680 is an abundant number, since it is smaller than the sum of its proper divisors (10730365272).

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

4220851680 is an equidigital number, since it uses as much as digits as its factorization.

4220851680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36220 (or 36197 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 4220851680 is about 64968.0820095530. The cubic root of 4220851680 is about 1616.0942948931.

The spelling of 4220851680 in words is "four billion, two hundred twenty million, eight hundred fifty-one thousand, six hundred eighty".