971768222880 has 768 divisors, whose sum is σ = 3996118748160. Its totient is φ = 192631799808.

The previous prime is 971768222857. The next prime is 971768222881. The reversal of 971768222880 is 88222867179.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (971768222881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 749242392 + ... + 749243688.

It is an arithmetic number, because the mean of its divisors is an integer number (5203279620).

Almost surely, 2^971768222880 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 971768222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998059374080).

971768222880 is an abundant number, since it is smaller than the sum of its proper divisors (3024350525280).

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

971768222880 is a wasteful number, since it uses less digits than its factorization.

971768222880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 60.

The spelling of 971768222880 in words is "nine hundred seventy-one billion, seven hundred sixty-eight million, two hundred twenty-two thousand, eight hundred eighty".