71648501760 has 336 divisors, whose sum is σ = 270960402960. Its totient is φ = 17368350720.

The previous prime is 71648501759. The next prime is 71648501779. The reversal of 71648501760 is 6710584617.

71648501760 is a `hidden beast` number, since 71 + 6 + 4 + 8 + 501 + 76 + 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 23 ways as a sum of consecutive naturals, for example, 4046206 + ... + 4063874.

Almost surely, 2^71648501760 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 71648501760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135480201480).

71648501760 is an abundant number, since it is smaller than the sum of its proper divisors (199311901200).

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

71648501760 is a wasteful number, since it uses less digits than its factorization.

71648501760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17717 (or 17690 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 71648501760 in words is "seventy-one billion, six hundred forty-eight million, five hundred one thousand, seven hundred sixty".