71447975424 has 320 divisors, whose sum is σ = 246282094080. Its totient is φ = 20027105280.

The previous prime is 71447975419. The next prime is 71447975461. The reversal of 71447975424 is 42457974417.

71447975424 is a `hidden beast` number, since 7 + 1 + 4 + 4 + 7 + 97 + 542 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5121739 + ... + 5135669.

It is an arithmetic number, because the mean of its divisors is an integer number (769631544).

Almost surely, 2^71447975424 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 71447975424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123141047040).

71447975424 is an abundant number, since it is smaller than the sum of its proper divisors (174834118656).

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

71447975424 is a wasteful number, since it uses less digits than its factorization.

71447975424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14018 (or 13996 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The spelling of 71447975424 in words is "seventy-one billion, four hundred forty-seven million, nine hundred seventy-five thousand, four hundred twenty-four".