663650400 has 144 divisors (see below), whose sum is σ = 2468841984. Its totient is φ = 151687680.

The previous prime is 663650399. The next prime is 663650401. The reversal of 663650400 is 4056366.

It is an interprime number because it is at equal distance from previous prime (663650399) and next prime (663650401).

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 (663650401) by changing a digit.

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, 2952 + ... + 36551.

It is an arithmetic number, because the mean of its divisors is an integer number (17144736).

Almost surely, 2^663650400 is an apocalyptic number.

663650400 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 663650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234420992).

663650400 is an abundant number, since it is smaller than the sum of its proper divisors (1805191584).

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

663650400 is a wasteful number, since it uses less digits than its factorization.

663650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39533 (or 39520 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 663650400 is about 25761.4130047247. The cubic root of 663650400 is about 872.2609969795.

The spelling of 663650400 in words is "six hundred sixty-three million, six hundred fifty thousand, four hundred".