163940071680 has 864 divisors, whose sum is σ = 731678088960. Its totient is φ = 32885637120.

The previous prime is 163940071663. The next prime is 163940071703. The reversal of 163940071680 is 86170049361.

It is a happy number.

163940071680 is a `hidden beast` number, since 1 + 639 + 4 + 0 + 0 + 7 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25720974 + ... + 25727346.

It is an arithmetic number, because the mean of its divisors is an integer number (846849640).

Almost surely, 2^163940071680 is an apocalyptic number.

163940071680 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 163940071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365839044480).

163940071680 is an abundant number, since it is smaller than the sum of its proper divisors (567738017280).

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

163940071680 is a wasteful number, since it uses less digits than its factorization.

163940071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 163940071680 in words is "one hundred sixty-three billion, nine hundred forty million, seventy-one thousand, six hundred eighty".