664451424000 has 2016 divisors, whose sum is σ = 3064173350784. Its totient is φ = 139744051200.

The previous prime is 664451423897. The next prime is 664451424023. The reversal of 664451424000 is 424154466.

664451424000 is a `hidden beast` number, since 6 + 644 + 5 + 1 + 4 + 2 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2122847844 + ... + 2122848156.

Almost surely, 2^664451424000 is an apocalyptic number.

664451424000 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 664451424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532086675392).

664451424000 is an abundant number, since it is smaller than the sum of its proper divisors (2399721926784).

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

664451424000 is an equidigital number, since it uses as much as digits as its factorization.

664451424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 664451424000 its reverse (424154466), we get a palindrome (664875578466).

The spelling of 664451424000 in words is "six hundred sixty-four billion, four hundred fifty-one million, four hundred twenty-four thousand".