663711400 has 192 divisors, whose sum is σ = 1775779200. Its totient is φ = 228480000.

The previous prime is 663711361. The next prime is 663711413. The reversal of 663711400 is 4117366.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6443749 + ... + 6443851.

It is an arithmetic number, because the mean of its divisors is an integer number (9248850).

Almost surely, 2^663711400 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 663711400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887889600).

663711400 is an abundant number, since it is smaller than the sum of its proper divisors (1112067800).

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

663711400 is a wasteful number, since it uses less digits than its factorization.

663711400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 663711400 is about 25762.5969187891. The cubic root of 663711400 is about 872.2877210352.

Adding to 663711400 its reverse (4117366), we get a palindrome (667828766).

The spelling of 663711400 in words is "six hundred sixty-three million, seven hundred eleven thousand, four hundred".