163392768000 has 1536 divisors, whose sum is σ = 755545190400. Its totient is φ = 33841152000.

The previous prime is 163392767977. The next prime is 163392768037. The reversal of 163392768000 is 867293361.

163392768000 is a `hidden beast` number, since 1 + 633 + 9 + 2 + 7 + 6 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 532223847 + ... + 532224153.

It is an arithmetic number, because the mean of its divisors is an integer number (491891400).

Almost surely, 2^163392768000 is an apocalyptic number.

163392768000 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 163392768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377772595200).

163392768000 is an abundant number, since it is smaller than the sum of its proper divisors (592152422400).

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

163392768000 is a wasteful number, since it uses less digits than its factorization.

163392768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 163392768000 in words is "one hundred sixty-three billion, three hundred ninety-two million, seven hundred sixty-eight thousand".