664822690053120 has 2464 divisors, whose sum is σ = 2518066911928320. Its totient is φ = 168140042403840.

The previous prime is 664822690053079. The next prime is 664822690053121. The reversal of 664822690053120 is 21350096228466.

664822690053120 is a `hidden beast` number, since 6 + 6 + 4 + 8 + 22 + 69 + 0 + 0 + 531 + 20 = 666.

It is a super-3 number, since 3×664822690053120³ (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (664822690053121) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2349196784499 + ... + 2349196784781.

Almost surely, 2^{664822690053120} is an apocalyptic number.

664822690053120 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 664822690053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259033455964160).

664822690053120 is an abundant number, since it is smaller than the sum of its proper divisors (1853244221875200).

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

664822690053120 is a wasteful number, since it uses less digits than its factorization.

664822690053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 664822690053120 in words is "six hundred sixty-four trillion, eight hundred twenty-two billion, six hundred ninety million, fifty-three thousand, one hundred twenty".