1663695936000 has 2400 divisors, whose sum is σ = 7533738381312. Its totient is φ = 357422284800.

The previous prime is 1663695935989. The next prime is 1663695936047. The reversal of 1663695936000 is 6395963661.

1663695936000 is a `hidden beast` number, since 16 + 6 + 36 + 9 + 593 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13099967937 + ... + 13099968063.

Almost surely, 2^{1663695936000} is an apocalyptic number.

1663695936000 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 1663695936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766869190656).

1663695936000 is an abundant number, since it is smaller than the sum of its proper divisors (5870042445312).

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

1663695936000 is an equidigital number, since it uses as much as digits as its factorization.

1663695936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 1663695936000 in words is "one trillion, six hundred sixty-three billion, six hundred ninety-five million, nine hundred thirty-six thousand".