163840000000 has 176 divisors, whose sum is σ = 409598853768. Its totient is φ = 65536000000.

The previous prime is 163839999937. The next prime is 163840000061. The reversal of 163840000000 is 48361.

It is a perfect power (a 7-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 98827239424 + 65012760576 = 314368^2 + 254976^2 .

It is a super-3 number, since 3×163840000000³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32767999998 + ... + 32768000002.

Almost surely, 2^163840000000 is an apocalyptic number.

163840000000 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 163840000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204799426884).

163840000000 is an abundant number, since it is smaller than the sum of its proper divisors (245758853768).

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

163840000000 is an frugal number, since it uses more digits than its factorization.

163840000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 163840000000 its reverse (48361), we get a palindrome (163840048361).

The spelling of 163840000000 in words is "one hundred sixty-three billion, eight hundred forty million", and thus it is an aban number.