9997680000 has 640 divisors, whose sum is σ = 41449731840. Its totient is φ = 2073600000.

The previous prime is 9997679999. The next prime is 9997680001. The reversal of 9997680000 is 867999.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9997679999) and next prime (9997680001).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997680001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18479730 + ... + 18480270.

It is an arithmetic number, because the mean of its divisors is an integer number (64765206).

Almost surely, 2^9997680000 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 9997680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20724865920).

9997680000 is an abundant number, since it is smaller than the sum of its proper divisors (31452051840).

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

9997680000 is a wasteful number, since it uses less digits than its factorization.

9997680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 9997680000 is about 99988.3993271219. The cubic root of 9997680000 is about 2154.2680675297.

The spelling of 9997680000 in words is "nine billion, nine hundred ninety-seven million, six hundred eighty thousand".