665272336345344 has 2592 divisors, whose sum is σ = 2575661611461120. Its totient is φ = 160489659432960.

The previous prime is 665272336345303. The next prime is 665272336345363. The reversal of 665272336345344 is 443543633272566.

665272336345344 is a `hidden beast` number, since 6 + 6 + 5 + 2 + 7 + 2 + 33 + 63 + 4 + 534 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 412444101082 + ... + 412444102694.

It is an arithmetic number, because the mean of its divisors is an integer number (993696609360).

Almost surely, 2^{665272336345344} is an apocalyptic number.

665272336345344 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 665272336345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287830805730560).

665272336345344 is an abundant number, since it is smaller than the sum of its proper divisors (1910389275115776).

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

665272336345344 is a wasteful number, since it uses less digits than its factorization.

665272336345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1781 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 63.

The spelling of 665272336345344 in words is "six hundred sixty-five trillion, two hundred seventy-two billion, three hundred thirty-six million, three hundred forty-five thousand, three hundred forty-four".