664583268132 has 192 divisors, whose sum is σ = 1983926210560. Its totient is φ = 188457954048.

The previous prime is 664583268101. The next prime is 664583268133. The reversal of 664583268132 is 231862385466.

664583268132 is a `hidden beast` number, since 6 + 6 + 4 + 583 + 26 + 8 + 1 + 32 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is not an unprimeable number, because it can be changed into a prime (664583268133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101413368 + ... + 101419920.

Almost surely, 2^664583268132 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 664583268132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991963105280).

664583268132 is an abundant number, since it is smaller than the sum of its proper divisors (1319342942428).

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

664583268132 is a wasteful number, since it uses less digits than its factorization.

664583268132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7559 (or 7551 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 664583268132 in words is "six hundred sixty-four billion, five hundred eighty-three million, two hundred sixty-eight thousand, one hundred thirty-two".