662955342336 has 1200 divisors, whose sum is σ = 2412179126280. Its totient is φ = 180592312320.

The previous prime is 662955342331. The next prime is 662955342353. The reversal of 662955342336 is 633243559266.

662955342336 is a `hidden beast` number, since 6 + 6 + 295 + 5 + 342 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 487963719936 + 174991622400 = 698544^2 + 418320^2 .

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

It is not an unprimeable number, because it can be changed into a prime (662955342331) 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 119 ways as a sum of consecutive naturals, for example, 6082159050 + ... + 6082159158.

Almost surely, 2^662955342336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 662955342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206089563140).

662955342336 is an abundant number, since it is smaller than the sum of its proper divisors (1749223783944).

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

662955342336 is a wasteful number, since it uses less digits than its factorization.

662955342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 235 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 54.

It can be divided in two parts, 6629553 and 42336, that added together give a square (6671889 = 2583²).

The spelling of 662955342336 in words is "six hundred sixty-two billion, nine hundred fifty-five million, three hundred forty-two thousand, three hundred thirty-six".