71000634240 has 448 divisors, whose sum is σ = 262750204800. Its totient is φ = 18319011840.

The previous prime is 71000634227. The next prime is 71000634247. The reversal of 71000634240 is 4243600017.

71000634240 is a `hidden beast` number, since 7 + 1 + 0 + 0 + 0 + 634 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71000634247) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14460906 + ... + 14465814.

Almost surely, 2^71000634240 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 71000634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131375102400).

71000634240 is an abundant number, since it is smaller than the sum of its proper divisors (191749570560).

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

71000634240 is an equidigital number, since it uses as much as digits as its factorization.

71000634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4977 (or 4950 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 71000634240 in words is "seventy-one billion, six hundred thirty-four thousand, two hundred forty".