664833201120 has 576 divisors, whose sum is σ = 2628850049280. Its totient is φ = 151212441600.

The previous prime is 664833201107. The next prime is 664833201143. The reversal of 664833201120 is 21102338466.

664833201120 is a `hidden beast` number, since 6 + 648 + 3 + 3 + 2 + 0 + 1 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×664833201120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89127951 + ... + 89135409.

It is an arithmetic number, because the mean of its divisors is an integer number (4563975780).

Almost surely, 2^664833201120 is an apocalyptic number.

664833201120 is a gapful number since it is divisible by the number (60) 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 664833201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314425024640).

664833201120 is an abundant number, since it is smaller than the sum of its proper divisors (1964016848160).

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

664833201120 is a wasteful number, since it uses less digits than its factorization.

664833201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7839 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 664833201120 its reverse (21102338466), we get a palindrome (685935539586).

The spelling of 664833201120 in words is "six hundred sixty-four billion, eight hundred thirty-three million, two hundred one thousand, one hundred twenty".