71320164300 has 216 divisors, whose sum is σ = 278710828032. Its totient is φ = 14819760000.

The previous prime is 71320164263. The next prime is 71320164301. The reversal of 71320164300 is 346102317.

71320164300 is a `hidden beast` number, since 7 + 13 + 2 + 0 + 1 + 643 + 0 + 0 = 666.

It is a super-3 number, since 3×71320164300³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (71320164301) 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 71 ways as a sum of consecutive naturals, for example, 445276 + ... + 583875.

Almost surely, 2^71320164300 is an apocalyptic number.

71320164300 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71320164300 is an abundant number, since it is smaller than the sum of its proper divisors (207390663732).

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

71320164300 is a wasteful number, since it uses less digits than its factorization.

71320164300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029189 (or 1029179 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 71320164300 its reverse (346102317), we get a palindrome (71666266617).

The spelling of 71320164300 in words is "seventy-one billion, three hundred twenty million, one hundred sixty-four thousand, three hundred".