663561416 has 64 divisors (see below), whose sum is σ = 1476334080. Its totient is φ = 273703680.

The previous prime is 663561403. The next prime is 663561419. The reversal of 663561416 is 614165366.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 663561416.

It is not an unprimeable number, because it can be changed into a prime (663561419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158486 + ... + 162618.

It is an arithmetic number, because the mean of its divisors is an integer number (23067720).

Almost surely, 2^663561416 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 663561416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738167040).

663561416 is an abundant number, since it is smaller than the sum of its proper divisors (812772664).

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

663561416 is a wasteful number, since it uses less digits than its factorization.

663561416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4250 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 663561416 is about 25759.6858676499. The cubic root of 663561416 is about 872.2220102169. Note that the first 3 decimals are identical.

The spelling of 663561416 in words is "six hundred sixty-three million, five hundred sixty-one thousand, four hundred sixteen".