669552168960 has 1248 divisors, whose sum is σ = 2594641445760. Its totient is φ = 165112971264.

The previous prime is 669552168959. The next prime is 669552168997. The reversal of 669552168960 is 69861255966.

669552168960 is a `hidden beast` number, since 6 + 6 + 9 + 552 + 16 + 8 + 9 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6902599632 + ... + 6902599728.

It is an arithmetic number, because the mean of its divisors is an integer number (2079039620).

Almost surely, 2^669552168960 is an apocalyptic number.

669552168960 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 669552168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297320722880).

669552168960 is an abundant number, since it is smaller than the sum of its proper divisors (1925089276800).

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

669552168960 is an equidigital number, since it uses as much as digits as its factorization.

669552168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 669552168960 in words is "six hundred sixty-nine billion, five hundred fifty-two million, one hundred sixty-eight thousand, nine hundred sixty".