664042992192 has 210 divisors, whose sum is σ = 2077491683718. Its totient is φ = 209697196032.

The previous prime is 664042992161. The next prime is 664042992229. The reversal of 664042992192 is 291299240466.

664042992192 is a `hidden beast` number, since 6 + 6 + 40 + 429 + 92 + 1 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 623051320896 + 40991671296 = 789336^2 + 202464^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 29 ways as a sum of consecutive naturals, for example, 1694008 + ... + 2048840.

Almost surely, 2^664042992192 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 664042992192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038745841859).

664042992192 is an abundant number, since it is smaller than the sum of its proper divisors (1413448691526).

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

664042992192 is a wasteful number, since it uses less digits than its factorization.

664042992192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354895 (or 354857 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 664042992192 in words is "six hundred sixty-four billion, forty-two million, nine hundred ninety-two thousand, one hundred ninety-two".