71394636584960 has 384 divisors, whose sum is σ = 196927834521600. Its totient is φ = 24621866680320.

The previous prime is 71394636584939. The next prime is 71394636584963. The reversal of 71394636584960 is 6948563649317.

It is a Harshad number since it is a multiple of its sum of digits (71).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71394636584963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179380097 + ... + 179777663.

It is an arithmetic number, because the mean of its divisors is an integer number (512832902400).

Almost surely, 2^{71394636584960} 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 71394636584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98463917260800).

71394636584960 is an abundant number, since it is smaller than the sum of its proper divisors (125533197936640).

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

71394636584960 is a wasteful number, since it uses less digits than its factorization.

71394636584960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397697 (or 397677 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 71.

The spelling of 71394636584960 in words is "seventy-one trillion, three hundred ninety-four billion, six hundred thirty-six million, five hundred eighty-four thousand, nine hundred sixty".