16463797365600 has 1440 divisors, whose sum is σ = 66919304390400. Its totient is φ = 3911639040000.

The previous prime is 16463797365557. The next prime is 16463797365607. The reversal of 16463797365600 is 656379736461.

It is a happy number.

16463797365600 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 37 + 9 + 7 + 36 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16463797365607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15694753876 + ... + 15694754924.

It is an arithmetic number, because the mean of its divisors is an integer number (46471739160).

Almost surely, 2^{16463797365600} is an apocalyptic number.

16463797365600 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 16463797365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33459652195200).

16463797365600 is an abundant number, since it is smaller than the sum of its proper divisors (50455507024800).

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

16463797365600 is a wasteful number, since it uses less digits than its factorization.

16463797365600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 16463797365600 in words is "sixteen trillion, four hundred sixty-three billion, seven hundred ninety-seven million, three hundred sixty-five thousand, six hundred".