663193440 has 576 divisors, whose sum is σ = 2919913920. Its totient is φ = 139345920.

The previous prime is 663193417. The next prime is 663193441. The reversal of 663193440 is 44391366.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 663193395 and 663193404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663193441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2751720 + ... + 2751960.

It is an arithmetic number, because the mean of its divisors is an integer number (5069295).

Almost surely, 2^663193440 is an apocalyptic number.

663193440 is a gapful number since it is divisible by the number (60) 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 663193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459956960).

663193440 is an abundant number, since it is smaller than the sum of its proper divisors (2256720480).

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

663193440 is a wasteful number, since it uses less digits than its factorization.

663193440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 663193440 is about 25752.5423987613. The cubic root of 663193440 is about 872.0607510350.

The spelling of 663193440 in words is "six hundred sixty-three million, one hundred ninety-three thousand, four hundred forty".