664310400000 has 528 divisors, whose sum is σ = 2383834799808. Its totient is φ = 163491840000.

The previous prime is 664310399983. The next prime is 664310400011. The reversal of 664310400000 is 4013466.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 124797339 + ... + 124802661.

It is an arithmetic number, because the mean of its divisors is an integer number (4514838636).

Almost surely, 2^664310400000 is an apocalyptic number.

664310400000 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 664310400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191917399904).

664310400000 is an abundant number, since it is smaller than the sum of its proper divisors (1719524399808).

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

664310400000 is an equidigital number, since it uses as much as digits as its factorization.

664310400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5384 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 664310400000 its reverse (4013466), we get a palindrome (664314413466).

The spelling of 664310400000 in words is "six hundred sixty-four billion, three hundred ten million, four hundred thousand".