997266816000 has 2640 divisors, whose sum is σ = 4686777006912. Its totient is φ = 209018880000.

The previous prime is 997266815999. The next prime is 997266816031. The reversal of 997266816000 is 618662799.

997266816000 is a `hidden beast` number, since 9 + 9 + 7 + 26 + 6 + 8 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×997266816000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 6604415925 + ... + 6604416075.

Almost surely, 2^997266816000 is an apocalyptic number.

997266816000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997266816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343388503456).

997266816000 is an abundant number, since it is smaller than the sum of its proper divisors (3689510190912).

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

997266816000 is a wasteful number, since it uses less digits than its factorization.

997266816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 997266816000 in words is "nine hundred ninety-seven billion, two hundred sixty-six million, eight hundred sixteen thousand".