163328792739840 has 3600 divisors, whose sum is σ = 777032454833712. Its totient is φ = 32419218456576.

The previous prime is 163328792739829. The next prime is 163328792739841. The reversal of 163328792739840 is 48937297823361.

163328792739840 is a `hidden beast` number, since 1 + 6 + 3 + 32 + 87 + 92 + 7 + 398 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1813568569344 + 161515224170496 = 1346688^2 + 12708864^2 .

It is a super-2 number, since 2×163328792739840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (163328792739841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 71856044944 + ... + 71856047216.

Almost surely, 2^{163328792739840} is an apocalyptic number.

163328792739840 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 163328792739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388516227416856).

163328792739840 is an abundant number, since it is smaller than the sum of its proper divisors (613703662093872).

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

163328792739840 is a wasteful number, since it uses less digits than its factorization.

163328792739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 163328792739840 in words is "one hundred sixty-three trillion, three hundred twenty-eight billion, seven hundred ninety-two million, seven hundred thirty-nine thousand, eight hundred forty".