71719932785664 has 176 divisors, whose sum is σ = 192941219750400. Its totient is φ = 23684464926720.

The previous prime is 71719932785653. The next prime is 71719932785681. The reversal of 71719932785664 is 46658723991717.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240908007 + ... + 241205529.

It is an arithmetic number, because the mean of its divisors is an integer number (1096256930400).

Almost surely, 2^{71719932785664} 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 71719932785664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96470609875200).

71719932785664 is an abundant number, since it is smaller than the sum of its proper divisors (121221286964736).

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

71719932785664 is a wasteful number, since it uses less digits than its factorization.

71719932785664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298276 (or 298258 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 75.

The spelling of 71719932785664 in words is "seventy-one trillion, seven hundred nineteen billion, nine hundred thirty-two million, seven hundred eighty-five thousand, six hundred sixty-four".