163633230512640 has 960 divisors, whose sum is σ = 660014704926720. Its totient is φ = 36691413073920.

The previous prime is 163633230512623. The next prime is 163633230512663. The reversal of 163633230512640 is 46215032336361.

163633230512640 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 332 + 3 + 0 + 51 + 264 + 0 = 666.

163633230512640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4634040585 + ... + 4634075895.

It is an arithmetic number, because the mean of its divisors is an integer number (687515317632).

Almost surely, 2^{163633230512640} is an apocalyptic number.

163633230512640 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 163633230512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330007352463360).

163633230512640 is an abundant number, since it is smaller than the sum of its proper divisors (496381474414080).

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

163633230512640 is a wasteful number, since it uses less digits than its factorization.

163633230512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35893 (or 35874 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 163633230512640 in words is "one hundred sixty-three trillion, six hundred thirty-three billion, two hundred thirty million, five hundred twelve thousand, six hundred forty".