71017058768640 has 576 divisors, whose sum is σ = 236872851005952. Its totient is φ = 18117137203200.

The previous prime is 71017058768627. The next prime is 71017058768653. The reversal of 71017058768640 is 4686785071017.

It is an interprime number because it is at equal distance from previous prime (71017058768627) and next prime (71017058768653).

It is a super-4 number, since 4×71017058768640⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2488232770 + ... + 2488261310.

It is an arithmetic number, because the mean of its divisors is an integer number (411237588552).

Almost surely, 2^{71017058768640} 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 71017058768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118436425502976).

71017058768640 is an abundant number, since it is smaller than the sum of its proper divisors (165855792237312).

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

71017058768640 is a wasteful number, since it uses less digits than its factorization.

71017058768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28896 (or 28882 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 60.

The spelling of 71017058768640 in words is "seventy-one trillion, seventeen billion, fifty-eight million, seven hundred sixty-eight thousand, six hundred forty".