669388610880 has 1512 divisors, whose sum is σ = 2837116003176. Its totient is φ = 144229662720.

The previous prime is 669388610873. The next prime is 669388610887. The reversal of 669388610880 is 88016883966.

669388610880 is a `hidden beast` number, since 6 + 6 + 9 + 3 + 8 + 8 + 610 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (669388610873) and next prime (669388610887).

It can be written as a sum of positive squares in 4 ways, for example, as 9082852416 + 660305758464 = 95304^2 + 812592^2 .

It is a super-2 number, since 2×669388610880² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (669388610887) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2138621604 + ... + 2138621916.

It is an arithmetic number, because the mean of its divisors is an integer number (1876399473).

Almost surely, 2^669388610880 is an apocalyptic number.

669388610880 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 669388610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418558001588).

669388610880 is an abundant number, since it is smaller than the sum of its proper divisors (2167727392296).

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

669388610880 is a wasteful number, since it uses less digits than its factorization.

669388610880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 669388610880 in words is "six hundred sixty-nine billion, three hundred eighty-eight million, six hundred ten thousand, eight hundred eighty".