664118400 has 384 divisors, whose sum is σ = 2519481600. Its totient is φ = 152064000.

The previous prime is 664118393. The next prime is 664118401. The reversal of 664118400 is 4811466.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (664118401) 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, 2006235 + ... + 2006565.

It is an arithmetic number, because the mean of its divisors is an integer number (6561150).

Almost surely, 2^664118400 is an apocalyptic number.

664118400 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 664118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259740800).

664118400 is an abundant number, since it is smaller than the sum of its proper divisors (1855363200).

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

664118400 is a wasteful number, since it uses less digits than its factorization.

664118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 664118400 is about 25770.4947566010. The cubic root of 664118400 is about 872.4659855433.

Adding to 664118400 its reverse (4811466), we get a palindrome (668929866).

The spelling of 664118400 in words is "six hundred sixty-four million, one hundred eighteen thousand, four hundred".