662224066560 has 2688 divisors, whose sum is σ = 3093697152000. Its totient is φ = 132434362368.

The previous prime is 662224066499. The next prime is 662224066591. The reversal of 662224066560 is 65660422266.

662224066560 is a `hidden beast` number, since 6 + 6 + 2 + 2 + 24 + 0 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 22835312626 + ... + 22835312654.

It is an arithmetic number, because the mean of its divisors is an integer number (1150929000).

Almost surely, 2^662224066560 is an apocalyptic number.

662224066560 is a gapful number since it is divisible by the number (60) 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 662224066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546848576000).

662224066560 is an abundant number, since it is smaller than the sum of its proper divisors (2431473085440).

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

662224066560 is a wasteful number, since it uses less digits than its factorization.

662224066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 662224066560 in words is "six hundred sixty-two billion, two hundred twenty-four million, sixty-six thousand, five hundred sixty".