664116768 has 288 divisors, whose sum is σ = 2269403136. Its totient is φ = 180278784.

The previous prime is 664116767. The next prime is 664116769. The reversal of 664116768 is 867611466.

It is an interprime number because it is at equal distance from previous prime (664116767) and next prime (664116769).

It is a tau number, because it is divible by the number of its divisors (288).

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 (664116767) 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, 4074255 + ... + 4074417.

It is an arithmetic number, because the mean of its divisors is an integer number (7879872).

Almost surely, 2^664116768 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 664116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134701568).

664116768 is an abundant number, since it is smaller than the sum of its proper divisors (1605286368).

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

664116768 is a wasteful number, since it uses less digits than its factorization.

664116768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 265 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 664116768 is about 25770.4630924630. The cubic root of 664116768 is about 872.4652708787.

It can be divided in two parts, 6641 and 16768, that added together give a square (23409 = 153²).

The spelling of 664116768 in words is "six hundred sixty-four million, one hundred sixteen thousand, seven hundred sixty-eight".