669587705055360 has 3072 divisors, whose sum is σ = 3115644598886400. Its totient is φ = 132316197027840.

The previous prime is 669587705055317. The next prime is 669587705055407. The reversal of 669587705055360 is 63550507785966.

669587705055360 is a `hidden beast` number, since 6 + 6 + 9 + 5 + 8 + 7 + 7 + 0 + 5 + 0 + 553 + 60 = 666.

It is a super-2 number, since 2×669587705055360² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 95888254429 + ... + 95888261411.

It is an arithmetic number, because the mean of its divisors is an integer number (1014207226200).

Almost surely, 2^{669587705055360} is an apocalyptic number.

669587705055360 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 669587705055360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557822299443200).

669587705055360 is an abundant number, since it is smaller than the sum of its proper divisors (2446056893831040).

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

669587705055360 is a wasteful number, since it uses less digits than its factorization.

669587705055360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7276 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 1428840000, while the sum is 72.

The spelling of 669587705055360 in words is "six hundred sixty-nine trillion, five hundred eighty-seven billion, seven hundred five million, fifty-five thousand, three hundred sixty".