71628026944320 has 2688 divisors, whose sum is σ = 317719590469632. Its totient is φ = 14384214835200.

The previous prime is 71628026944289. The next prime is 71628026944349. The reversal of 71628026944320 is 2344962082617.

It is a happy number.

71628026944320 is a `hidden beast` number, since 7 + 1 + 62 + 80 + 2 + 69 + 443 + 2 + 0 = 666.

It is a super-3 number, since 3×71628026944320³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 225955920802 + ... + 225955921118.

Almost surely, 2^{71628026944320} is an apocalyptic number.

71628026944320 is a gapful number since it is divisible by the number (70) 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 71628026944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158859795234816).

71628026944320 is an abundant number, since it is smaller than the sum of its proper divisors (246091563525312).

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

71628026944320 is a wasteful number, since it uses less digits than its factorization.

71628026944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 71628026944320 in words is "seventy-one trillion, six hundred twenty-eight billion, twenty-six million, nine hundred forty-four thousand, three hundred twenty".