77571243871968 has 576 divisors, whose sum is σ = 261794007659520. Its totient is φ = 19884198297600.

The previous prime is 77571243871949. The next prime is 77571243871981. The reversal of 77571243871968 is 86917834217577.

It is a self number, because there is not a number n which added to its sum of digits gives 77571243871968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17467064628 + ... + 17467069068.

It is an arithmetic number, because the mean of its divisors is an integer number (454503485520).

Almost surely, 2^{77571243871968} 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 77571243871968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130897003829760).

77571243871968 is an abundant number, since it is smaller than the sum of its proper divisors (184222763787552).

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

77571243871968 is a wasteful number, since it uses less digits than its factorization.

77571243871968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8831 (or 8816 counting only the distinct ones).

The product of its digits is 995742720, while the sum is 75.

The spelling of 77571243871968 in words is "seventy-seven trillion, five hundred seventy-one billion, two hundred forty-three million, eight hundred seventy-one thousand, nine hundred sixty-eight".