71007734304 has 144 divisors (see below), whose sum is σ = 217592391744. Its totient is φ = 21835353600.

The previous prime is 71007734233. The next prime is 71007734309. The reversal of 71007734304 is 40343770017.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71007734309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7524469 + ... + 7533899.

It is an arithmetic number, because the mean of its divisors is an integer number (1511058276).

Almost surely, 2^71007734304 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 71007734304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108796195872).

71007734304 is an abundant number, since it is smaller than the sum of its proper divisors (146584657440).

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

71007734304 is a wasteful number, since it uses less digits than its factorization.

71007734304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471 (or 11460 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 71007734304 in words is "seventy-one billion, seven million, seven hundred thirty-four thousand, three hundred four".