669082208256 has 960 divisors, whose sum is σ = 2544862320000. Its totient is φ = 173625016320.

The previous prime is 669082208233. The next prime is 669082208279. The reversal of 669082208256 is 652802280966.

It is an interprime number because it is at equal distance from previous prime (669082208233) and next prime (669082208279).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 625894890 + ... + 625895958.

It is an arithmetic number, because the mean of its divisors is an integer number (2650898250).

Almost surely, 2^669082208256 is an apocalyptic number.

669082208256 is a gapful number since it is divisible by the number (66) 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 669082208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272431160000).

669082208256 is an abundant number, since it is smaller than the sum of its proper divisors (1875780111744).

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

669082208256 is a wasteful number, since it uses less digits than its factorization.

669082208256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 669082208256 in words is "six hundred sixty-nine billion, eighty-two million, two hundred eight thousand, two hundred fifty-six".