71789766464 has 112 divisors (see below), whose sum is σ = 154910582736. Its totient is φ = 32812646400.

The previous prime is 71789766443. The next prime is 71789766469. The reversal of 71789766464 is 46466798717.

It can be written as a sum of positive squares in 8 ways, for example, as 22203384064 + 49586382400 = 149008^2 + 222680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71789766464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71789766469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41713124 + ... + 41714844.

It is an arithmetic number, because the mean of its divisors is an integer number (1383130203).

Almost surely, 2^71789766464 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 71789766464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77455291368).

71789766464 is an abundant number, since it is smaller than the sum of its proper divisors (83120816272).

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

71789766464 is a wasteful number, since it uses less digits than its factorization.

71789766464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2194 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 65.

The spelling of 71789766464 in words is "seventy-one billion, seven hundred eighty-nine million, seven hundred sixty-six thousand, four hundred sixty-four".