663214800 has 120 divisors (see below), whose sum is σ = 2174074144. Its totient is φ = 172730880.

The previous prime is 663214793. The next prime is 663214807. The reversal of 663214800 is 8412366.

It is an interprime number because it is at equal distance from previous prime (663214793) and next prime (663214807).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663214807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45174 + ... + 58026.

Almost surely, 2^663214800 is an apocalyptic number.

663214800 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 663214800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087037072).

663214800 is an abundant number, since it is smaller than the sum of its proper divisors (1510859344).

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

663214800 is a wasteful number, since it uses less digits than its factorization.

663214800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12917 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 663214800 is about 25752.9571117571. The cubic root of 663214800 is about 872.0701133198.

The spelling of 663214800 in words is "six hundred sixty-three million, two hundred fourteen thousand, eight hundred".