669285040320 has 672 divisors, whose sum is σ = 2526471886848. Its totient is φ = 161623351296.

The previous prime is 669285040289. The next prime is 669285040321. The reversal of 669285040320 is 23040582966.

669285040320 is a `hidden beast` number, since 6 + 6 + 9 + 285 + 0 + 40 + 320 = 666.

It is a super-2 number, since 2×669285040320² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (669285040321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 920611797 + ... + 920612523.

It is an arithmetic number, because the mean of its divisors is an integer number (3759630784).

Almost surely, 2^669285040320 is an apocalyptic number.

669285040320 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 669285040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1263235943424).

669285040320 is an abundant number, since it is smaller than the sum of its proper divisors (1857186846528).

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

669285040320 is a wasteful number, since it uses less digits than its factorization.

669285040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 669285040320 in words is "six hundred sixty-nine billion, two hundred eighty-five million, forty thousand, three hundred twenty".