71202796704 has 432 divisors, whose sum is σ = 232406647200. Its totient is φ = 20551781376.

The previous prime is 71202796667. The next prime is 71202796727. The reversal of 71202796704 is 40769720217.

It is a self number, because there is not a number n which added to its sum of digits gives 71202796704.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 187869987 + ... + 187870365.

It is an arithmetic number, because the mean of its divisors is an integer number (537978350).

Almost surely, 2^71202796704 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 71202796704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116203323600).

71202796704 is an abundant number, since it is smaller than the sum of its proper divisors (161203850496).

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

71202796704 is a wasteful number, since it uses less digits than its factorization.

71202796704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 71202796704 in words is "seventy-one billion, two hundred two million, seven hundred ninety-six thousand, seven hundred four".