163967424000 has 320 divisors, whose sum is σ = 559908752832. Its totient is φ = 42541056000.

The previous prime is 163967423989. The next prime is 163967424011. The reversal of 163967424000 is 424769361.

It is an interprime number because it is at equal distance from previous prime (163967423989) and next prime (163967424011).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×163967424000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7092460 + ... + 7115540.

Almost surely, 2^163967424000 is an apocalyptic number.

163967424000 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 163967424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279954376416).

163967424000 is an abundant number, since it is smaller than the sum of its proper divisors (395941328832).

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

163967424000 is an equidigital number, since it uses as much as digits as its factorization.

163967424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23154 (or 23128 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 163967424000 in words is "one hundred sixty-three billion, nine hundred sixty-seven million, four hundred twenty-four thousand".