663379200 has 432 divisors, whose sum is σ = 2661288000. Its totient is φ = 160358400.

The previous prime is 663379187. The next prime is 663379201. The reversal of 663379200 is 2973366.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663379201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900626 + ... + 1900974.

Almost surely, 2^663379200 is an apocalyptic number.

663379200 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 663379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330644000).

663379200 is an abundant number, since it is smaller than the sum of its proper divisors (1997908800).

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

663379200 is a wasteful number, since it uses less digits than its factorization.

663379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 663379200 is about 25756.1487804369. The cubic root of 663379200 is about 872.1421646281.

The spelling of 663379200 in words is "six hundred sixty-three million, three hundred seventy-nine thousand, two hundred".