1663949105280 has 2048 divisors, whose sum is σ = 7665772953600. Its totient is φ = 331085905920.

The previous prime is 1663949105257. The next prime is 1663949105297. The reversal of 1663949105280 is 825019493661.

1663949105280 is a `hidden beast` number, since 1 + 6 + 63 + 9 + 49 + 10 + 528 + 0 = 666.

It is a super-2 number, since 2×1663949105280² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3593842329 + ... + 3593842791.

It is an arithmetic number, because the mean of its divisors is an integer number (3743053200).

Almost surely, 2^{1663949105280} is an apocalyptic number.

1663949105280 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 1663949105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832886476800).

1663949105280 is an abundant number, since it is smaller than the sum of its proper divisors (6001823848320).

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

1663949105280 is a wasteful number, since it uses less digits than its factorization.

1663949105280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1663949105280 in words is "one trillion, six hundred sixty-three billion, nine hundred forty-nine million, one hundred five thousand, two hundred eighty".