664632931968 has 192 divisors, whose sum is σ = 1922964563520. Its totient is φ = 220340736000.

The previous prime is 664632931939. The next prime is 664632931973. The reversal of 664632931968 is 869139236466.

It is a happy number.

664632931968 is a `hidden beast` number, since 66 + 463 + 29 + 3 + 1 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279608796 + ... + 279611172.

It is an arithmetic number, because the mean of its divisors is an integer number (10015440435).

Almost surely, 2^664632931968 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 664632931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961482281760).

664632931968 is an abundant number, since it is smaller than the sum of its proper divisors (1258331631552).

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

664632931968 is a wasteful number, since it uses less digits than its factorization.

664632931968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3615 (or 3600 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 664632931968 in words is "six hundred sixty-four billion, six hundred thirty-two million, nine hundred thirty-one thousand, nine hundred sixty-eight".