663578496 has 384 divisors, whose sum is σ = 2367705600. Its totient is φ = 174182400.

The previous prime is 663578473. The next prime is 663578507. The reversal of 663578496 is 694875366.

663578496 is a `hidden beast` number, since 6 + 63 + 578 + 4 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×663578496³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9346141 + ... + 9346211.

It is an arithmetic number, because the mean of its divisors is an integer number (6165900).

Almost surely, 2^663578496 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 663578496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183852800).

663578496 is an abundant number, since it is smaller than the sum of its proper divisors (1704127104).

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

663578496 is a wasteful number, since it uses less digits than its factorization.

663578496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 163 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 663578496 is about 25760.0173912985. The cubic root of 663578496 is about 872.2294937865.

The spelling of 663578496 in words is "six hundred sixty-three million, five hundred seventy-eight thousand, four hundred ninety-six".