71681734080 has 672 divisors, whose sum is σ = 281078074368. Its totient is φ = 17244057600.

The previous prime is 71681734073. The next prime is 71681734123. The reversal of 71681734080 is 8043718617.

71681734080 is a `hidden beast` number, since 71 + 6 + 8 + 173 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 154819929 + ... + 154820391.

It is an arithmetic number, because the mean of its divisors is an integer number (418270944).

Almost surely, 2^71681734080 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 71681734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140539037184).

71681734080 is an abundant number, since it is smaller than the sum of its proper divisors (209396340288).

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

71681734080 is a wasteful number, since it uses less digits than its factorization.

71681734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 71681734080 in words is "seventy-one billion, six hundred eighty-one million, seven hundred thirty-four thousand, eighty".