71449709760 has 1344 divisors, whose sum is σ = 317930296320. Its totient is φ = 14452162560.

The previous prime is 71449709753. The next prime is 71449709767. The reversal of 71449709760 is 6790794417.

71449709760 is a `hidden beast` number, since 7 + 1 + 4 + 497 + 0 + 97 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (71449709753) and next prime (71449709767).

It is a super-2 number, since 2×71449709760² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 71449709697 and 71449709706.

It is not an unprimeable number, because it can be changed into a prime (71449709767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179973882 + ... + 179974278.

It is an arithmetic number, because the mean of its divisors is an integer number (236555280).

Almost surely, 2^71449709760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71449709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158965148160).

71449709760 is an abundant number, since it is smaller than the sum of its proper divisors (246480586560).

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

71449709760 is a wasteful number, since it uses less digits than its factorization.

71449709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 71449709760 in words is "seventy-one billion, four hundred forty-nine million, seven hundred nine thousand, seven hundred sixty".