71541974784 has 144 divisors (see below), whose sum is σ = 219763031040. Its totient is φ = 20238028800.

The previous prime is 71541974761. The next prime is 71541974807. The reversal of 71541974784 is 48747914517.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71541974761) and next prime (71541974807).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477097 + ... + 608855.

It is an arithmetic number, because the mean of its divisors is an integer number (1526132160).

Almost surely, 2^71541974784 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 71541974784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109881515520).

71541974784 is an abundant number, since it is smaller than the sum of its proper divisors (148221056256).

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

71541974784 is a wasteful number, since it uses less digits than its factorization.

71541974784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131886 (or 131872 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 57.

The spelling of 71541974784 in words is "seventy-one billion, five hundred forty-one million, nine hundred seventy-four thousand, seven hundred eighty-four".