1663446568320 has 2048 divisors, whose sum is σ = 6751309824000. Its totient is φ = 385391001600.

The previous prime is 1663446568309. The next prime is 1663446568327. The reversal of 1663446568320 is 238656443661.

1663446568320 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 4 + 46 + 568 + 32 + 0 = 666.

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 (1663446568327) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18690410836 + ... + 18690410924.

It is an arithmetic number, because the mean of its divisors is an integer number (3296538000).

Almost surely, 2^{1663446568320} is an apocalyptic number.

1663446568320 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 1663446568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3375654912000).

1663446568320 is an abundant number, since it is smaller than the sum of its proper divisors (5087863255680).

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

1663446568320 is a wasteful number, since it uses less digits than its factorization.

1663446568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 1663446568320 in words is "one trillion, six hundred sixty-three billion, four hundred forty-six million, five hundred sixty-eight thousand, three hundred twenty".