1664482659840 has 2640 divisors, whose sum is σ = 8098375358304. Its totient is φ = 319261409280.

The previous prime is 1664482659809. The next prime is 1664482659857. The reversal of 1664482659840 is 489562844661.

1664482659840 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 482 + 65 + 98 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×1664482659840² (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 congruent number.

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 263 ways as a sum of consecutive naturals, for example, 128037127674 + ... + 128037127686.

Almost surely, 2^{1664482659840} is an apocalyptic number.

1664482659840 is a gapful number since it is divisible by the number (10) 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 1664482659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049187679152).

1664482659840 is an abundant number, since it is smaller than the sum of its proper divisors (6433892698464).

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

1664482659840 is an frugal number, since it uses more digits than its factorization.

1664482659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 1664482659840 in words is "one trillion, six hundred sixty-four billion, four hundred eighty-two million, six hundred fifty-nine thousand, eight hundred forty".