664862364144 has 240 divisors, whose sum is σ = 2158261148160. Its totient is φ = 188826839040.

The previous prime is 664862364119. The next prime is 664862364149. The reversal of 664862364144 is 441463268466.

664862364144 is a `hidden beast` number, since 6 + 6 + 4 + 8 + 623 + 6 + 4 + 1 + 4 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664862364149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6384139 + ... + 6487445.

It is an arithmetic number, because the mean of its divisors is an integer number (8992754784).

Almost surely, 2^664862364144 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 664862364144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079130574080).

664862364144 is an abundant number, since it is smaller than the sum of its proper divisors (1493398784016).

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

664862364144 is a wasteful number, since it uses less digits than its factorization.

664862364144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103588 (or 103579 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 54.

The spelling of 664862364144 in words is "six hundred sixty-four billion, eight hundred sixty-two million, three hundred sixty-four thousand, one hundred forty-four".