71028264384 has 1008 divisors, whose sum is σ = 279701061120. Its totient is φ = 17038264320.

The previous prime is 71028264371. The next prime is 71028264401. The reversal of 71028264384 is 48346282017.

It is a happy number.

71028264384 is a `hidden beast` number, since 7 + 1 + 0 + 2 + 8 + 264 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2449250482 + ... + 2449250510.

Almost surely, 2^71028264384 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 71028264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139850530560).

71028264384 is an abundant number, since it is smaller than the sum of its proper divisors (208672796736).

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

71028264384 is a wasteful number, since it uses less digits than its factorization.

71028264384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 71028264384 in words is "seventy-one billion, twenty-eight million, two hundred sixty-four thousand, three hundred eighty-four".