71455673760 has 192 divisors, whose sum is σ = 228623472000. Its totient is φ = 18757619712.

The previous prime is 71455673753. The next prime is 71455673761. The reversal of 71455673760 is 6737655417.

It is not an unprimeable number, because it can be changed into a prime (71455673761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8209891 + ... + 8218589.

It is an arithmetic number, because the mean of its divisors is an integer number (1190747250).

Almost surely, 2^71455673760 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 71455673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114311736000).

71455673760 is an abundant number, since it is smaller than the sum of its proper divisors (157167798240).

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

71455673760 is a wasteful number, since it uses less digits than its factorization.

71455673760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8983 (or 8975 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 71455673760 in words is "seventy-one billion, four hundred fifty-five million, six hundred seventy-three thousand, seven hundred sixty".