664108368000 has 2048 divisors, whose sum is σ = 2963450880000. Its totient is φ = 130056192000.

The previous prime is 664108367983. The next prime is 664108368017. The reversal of 664108368000 is 863801466.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (664108367983) and next prime (664108368017).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 255 ways as a sum of consecutive naturals, for example, 3440975904 + ... + 3440976096.

It is an arithmetic number, because the mean of its divisors is an integer number (1446997500).

Almost surely, 2^664108368000 is an apocalyptic number.

664108368000 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 664108368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481725440000).

664108368000 is an abundant number, since it is smaller than the sum of its proper divisors (2299342512000).

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

664108368000 is a wasteful number, since it uses less digits than its factorization.

664108368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 664108368000 in words is "six hundred sixty-four billion, one hundred eight million, three hundred sixty-eight thousand".