163806377760 has 576 divisors, whose sum is σ = 626970419712. Its totient is φ = 40229830656.

The previous prime is 163806377747. The next prime is 163806377797. The reversal of 163806377760 is 67773608361.

It is a happy number.

163806377760 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 163806377697 and 163806377706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31062484 + ... + 31067756.

It is an arithmetic number, because the mean of its divisors is an integer number (1088490312).

Almost surely, 2^163806377760 is an apocalyptic number.

163806377760 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 163806377760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313485209856).

163806377760 is an abundant number, since it is smaller than the sum of its proper divisors (463164041952).

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

163806377760 is a wasteful number, since it uses less digits than its factorization.

163806377760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5347 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 163806377760 in words is "one hundred sixty-three billion, eight hundred six million, three hundred seventy-seven thousand, seven hundred sixty".