9997112664 has 320 divisors, whose sum is σ = 35126784000. Its totient is φ = 2580595200.

The previous prime is 9997112639. The next prime is 9997112683. The reversal of 9997112664 is 4662117999.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 9997112664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9529612 + ... + 9530660.

It is an arithmetic number, because the mean of its divisors is an integer number (109771200).

Almost surely, 2^9997112664 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 9997112664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563392000).

9997112664 is an abundant number, since it is smaller than the sum of its proper divisors (25129671336).

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

9997112664 is a wasteful number, since it uses less digits than its factorization.

9997112664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1263 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 9997112664 is about 99985.5622777609. The cubic root of 9997112664 is about 2154.2273175108.

The spelling of 9997112664 in words is "nine billion, nine hundred ninety-seven million, one hundred twelve thousand, six hundred sixty-four".