162744940800 has 2160 divisors, whose sum is σ = 721315499520. Its totient is φ = 35831808000.

The previous prime is 162744940741. The next prime is 162744940817. The reversal of 162744940800 is 8049447261.

162744940800 is a `hidden beast` number, since 16 + 2 + 74 + 494 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 3969388780 + ... + 3969388820.

Almost surely, 2^162744940800 is an apocalyptic number.

162744940800 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 162744940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360657749760).

162744940800 is an abundant number, since it is smaller than the sum of its proper divisors (558570558720).

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

162744940800 is a wasteful number, since it uses less digits than its factorization.

162744940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 162744940800 in words is "one hundred sixty-two billion, seven hundred forty-four million, nine hundred forty thousand, eight hundred".