663274656 has 240 divisors, whose sum is σ = 2181519648. Its totient is φ = 195955200.

The previous prime is 663274627. The next prime is 663274673. The reversal of 663274656 is 656472366.

663274656 is a `hidden beast` number, since 6 + 632 + 7 + 4 + 6 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1225746 + ... + 1226286.

Almost surely, 2^663274656 is an apocalyptic number.

663274656 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 663274656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090759824).

663274656 is an abundant number, since it is smaller than the sum of its proper divisors (1518244992).

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

663274656 is a wasteful number, since it uses less digits than its factorization.

663274656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 600 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 663274656 is about 25754.1192045078. The cubic root of 663274656 is about 872.0963476853.

The spelling of 663274656 in words is "six hundred sixty-three million, two hundred seventy-four thousand, six hundred fifty-six".