997289268768 has 192 divisors, whose sum is σ = 3191617054080. Its totient is φ = 301068278784.

The previous prime is 997289268749. The next prime is 997289268841. The reversal of 997289268768 is 867862982799.

997289268768 is a `hidden beast` number, since 9 + 9 + 7 + 289 + 268 + 76 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242346 + ... + 1432937.

It is an arithmetic number, because the mean of its divisors is an integer number (16623005490).

Almost surely, 2^997289268768 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 997289268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595808527040).

997289268768 is an abundant number, since it is smaller than the sum of its proper divisors (2194327785312).

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

997289268768 is a wasteful number, since it uses less digits than its factorization.

997289268768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675368 (or 1675354 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 81.

The spelling of 997289268768 in words is "nine hundred ninety-seven billion, two hundred eighty-nine million, two hundred sixty-eight thousand, seven hundred sixty-eight".