1664073895932 has 288 divisors, whose sum is σ = 5255353958400. Its totient is φ = 449774430912.

The previous prime is 1664073895927. The next prime is 1664073895961. The reversal of 1664073895932 is 2395983704661.

1664073895932 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 0 + 7 + 38 + 9 + 593 + 2 = 666.

It is a super-2 number, since 2×1664073895932² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1664073895932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92940493 + ... + 92958395.

It is an arithmetic number, because the mean of its divisors is an integer number (18247756800).

It is a 1-persistent number, because it is pandigital, but 2⋅1664073895932 = 3328147791864 is not.

Almost surely, 2^{1664073895932} is an apocalyptic number.

1664073895932 is a gapful number since it is divisible by the number (12) 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 1664073895932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627676979200).

1664073895932 is an abundant number, since it is smaller than the sum of its proper divisors (3591280062468).

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

1664073895932 is a wasteful number, since it uses less digits than its factorization.

1664073895932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18667 (or 18653 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 1664073895932 in words is "one trillion, six hundred sixty-four billion, seventy-three million, eight hundred ninety-five thousand, nine hundred thirty-two".