71356760064 has 180 divisors, whose sum is σ = 206998051624. Its totient is φ = 23686152192.

The previous prime is 71356760063. The next prime is 71356760119. The reversal of 71356760064 is 46006765317.

71356760064 is a `hidden beast` number, since 7 + 1 + 35 + 6 + 7 + 600 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71356760063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40844439 + ... + 40846185.

Almost surely, 2^71356760064 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 71356760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103499025812).

71356760064 is an abundant number, since it is smaller than the sum of its proper divisors (135641291560).

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

71356760064 is a wasteful number, since it uses less digits than its factorization.

71356760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 71356760064 in words is "seventy-one billion, three hundred fifty-six million, seven hundred sixty thousand, sixty-four".