663421824 has 192 divisors, whose sum is σ = 2123721600. Its totient is φ = 197406720.

The previous prime is 663421813. The next prime is 663421831. The reversal of 663421824 is 428124366.

663421824 is a `hidden beast` number, since 6 + 634 + 2 + 18 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 463542 + ... + 464970.

It is an arithmetic number, because the mean of its divisors is an integer number (11061050).

Almost surely, 2^663421824 is an apocalyptic number.

663421824 is a gapful number since it is divisible by the number (64) 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 663421824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061860800).

663421824 is an abundant number, since it is smaller than the sum of its proper divisors (1460299776).

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

663421824 is a wasteful number, since it uses less digits than its factorization.

663421824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1478 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 663421824 is about 25756.9762200457. The cubic root of 663421824 is about 872.1608434328.

The spelling of 663421824 in words is "six hundred sixty-three million, four hundred twenty-one thousand, eight hundred twenty-four".