71339084640 has 576 divisors, whose sum is σ = 262406656512. Its totient is φ = 18289152000.

The previous prime is 71339084639. The next prime is 71339084669. The reversal of 71339084640 is 4648093317.

71339084640 is a `hidden beast` number, since 71 + 33 + 90 + 8 + 464 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118700340 + ... + 118700940.

It is an arithmetic number, because the mean of its divisors is an integer number (455567112).

Almost surely, 2^71339084640 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 71339084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131203328256).

71339084640 is an abundant number, since it is smaller than the sum of its proper divisors (191067571872).

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

71339084640 is a wasteful number, since it uses less digits than its factorization.

71339084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 71339084640 in words is "seventy-one billion, three hundred thirty-nine million, eighty-four thousand, six hundred forty".