71018360064 has 288 divisors, whose sum is σ = 222959520000. Its totient is φ = 22221029376.

The previous prime is 71018360053. The next prime is 71018360089. The reversal of 71018360064 is 46006381017.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70384392 + ... + 70385400.

It is an arithmetic number, because the mean of its divisors is an integer number (774165000).

Almost surely, 2^71018360064 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 71018360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111479760000).

71018360064 is an abundant number, since it is smaller than the sum of its proper divisors (151941159936).

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

71018360064 is a wasteful number, since it uses less digits than its factorization.

71018360064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 71018360064 in words is "seventy-one billion, eighteen million, three hundred sixty thousand, sixty-four".