71235074064 has 320 divisors, whose sum is σ = 236941977600. Its totient is φ = 17902632960.

The previous prime is 71235073997. The next prime is 71235074069. The reversal of 71235074064 is 46047053217.

It is not an unprimeable number, because it can be changed into a prime (71235074069) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26391787 + ... + 26394485.

It is an arithmetic number, because the mean of its divisors is an integer number (740443680).

Almost surely, 2^71235074064 is an apocalyptic number.

71235074064 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71235074064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118470988800).

71235074064 is an abundant number, since it is smaller than the sum of its proper divisors (165706903536).

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

71235074064 is a wasteful number, since it uses less digits than its factorization.

71235074064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 71235074064 in words is "seventy-one billion, two hundred thirty-five million, seventy-four thousand, sixty-four".