4221646782660 has 144 divisors (see below), whose sum is σ = 12956172635952. Its totient is φ = 1112573952000.

The previous prime is 4221646782653. The next prime is 4221646782677. The reversal of 4221646782660 is 662876461224.

It is a happy number.

4221646782660 is a `hidden beast` number, since 42 + 2 + 1 + 6 + 467 + 82 + 6 + 60 = 666.

4221646782660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 210174568704 + 4011472213956 = 458448^2 + 2002866^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4221646782597 and 4221646782606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12067000 + ... + 12411920.

It is an arithmetic number, because the mean of its divisors is an integer number (89973421083).

Almost surely, 2^{4221646782660} 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 4221646782660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478086317976).

4221646782660 is an abundant number, since it is smaller than the sum of its proper divisors (8734525853292).

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

4221646782660 is a wasteful number, since it uses less digits than its factorization.

4221646782660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345734 (or 345729 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 4221646782660 in words is "four trillion, two hundred twenty-one billion, six hundred forty-six million, seven hundred eighty-two thousand, six hundred sixty".