665344419352704 has 640 divisors, whose sum is σ = 2437723957025280. Its totient is φ = 175422588641280.

The previous prime is 665344419352609. The next prime is 665344419352729. The reversal of 665344419352704 is 407253914443566.

665344419352704 is a `hidden beast` number, since 6 + 6 + 5 + 34 + 441 + 93 + 5 + 2 + 70 + 4 = 666.

It is a super-2 number, since 2×665344419352704² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3182280489 + ... + 3182489559.

It is an arithmetic number, because the mean of its divisors is an integer number (3808943682852).

Almost surely, 2^{665344419352704} is an apocalyptic number.

665344419352704 is a gapful number since it is divisible by the number (64) 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 665344419352704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218861978512640).

665344419352704 is an abundant number, since it is smaller than the sum of its proper divisors (1772379537672576).

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

665344419352704 is a wasteful number, since it uses less digits than its factorization.

665344419352704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212490 (or 212469 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 665344419352704 in words is "six hundred sixty-five trillion, three hundred forty-four billion, four hundred nineteen million, three hundred fifty-two thousand, seven hundred four".